Notes on noncommutative LP and Orlicz spaces

Charles A. Akemann, Joel Anderson, and Gert K. Pedersen. Triangle inequalities in operator algebras. Linear and Multilinear Algebra, 11(2):167–178, 1982.
Zobacz w Google Scholar

Huzihiro Araki and Tetsuya Masuda. Positive cones and Lp-spaces for von Neumann algebras. Publ. Res. Inst. Math. Sci., 18(2):759–831 (339–411), 1982.
Zobacz w Google Scholar

William Arveson. An invitation to C∗-algebras. Springer-Verlag, New York–Heidelberg, 1976. Graduate Texts in Mathematics, No. 39.
Zobacz w Google Scholar

William Arveson. A short course on spectral theory, volume 209 of Graduate Texts in Mathematics. Springer-Verlag, New York, 2002.
Zobacz w Google Scholar

Maryam H. A. Al-Rashed and Bogusław Zegarliński. Noncommutative Orlicz spaces associated to a state. Studia Math., 180(3):199–209, 2007.
Zobacz w Google Scholar

Lawrence G. Brown and Hideki Kosaki. Jensen’s inequality in semi-finite von Neumann algebras. J. Operator Theory, 23(1):3–19, 1990.
Zobacz w Google Scholar

D.P. Blecher and L.E. Labuschagne. Von neumann algebraic Hp theory. In Proceedings of the Fifth Conference on Function Spaces, volume 435 of Contemporary Mathematics, pages 89–114. Amer. Math. Soc., 2007.
Zobacz w Google Scholar

B. Blackadar. Operator algebras, volume 122 of Encyclopaedia of Mathematical Sciences. Springer-Verlag, Berlin, 2006. Theory of C∗-algebras and von Neumann algebras, Operator Algebras and Non-commutative Geometry, III.
Zobacz w Google Scholar

Ola Bratteli and Derek W. Robinson. Operator algebras and quantum statistical mechanics. 1. Texts and Monographs in Physics. Springer-Verlag, New York, second edition, 1987. C⚹- and W⚹-algebras, symmetry groups, decomposition of states.
Zobacz w Google Scholar

Ola Bratteli and Derek W. Robinson. Operator algebras and quantum statistical mechanics. 1. Texts and Monographs in Physics. Springer-Verlag, New York, second edition, 1987. C⚹- and W⚹-algebras, symmetry groups, decomposition of states.
Zobacz w Google Scholar

Colin Bennett and Robert Sharpley. Interpolation of operators, volume 129 of Pure and Applied Mathematics. Academic Press, Inc., Boston, MA, 1988.
Zobacz w Google Scholar

M. Caspers. The Lp-fourier transform on locally compact quantum groups. J. Operator Theory, 69(1):161–193, 2013.
Zobacz w Google Scholar

Martijn Caspers and Mikael de la Salle. Schur and Fourier multipliers of an amenable group acting on non-commutative Lp-spaces. Trans. Amer. Math. Soc., 367(10):6997–7013, 2015.
Zobacz w Google Scholar

Carlo Cecchini. On two definitions of measurable and locally measurable operators. Boll. Un. Mat. Ital. A (5), 15(3):526–534, 1978.
Zobacz w Google Scholar

F. Cipriani, U. Franz, and A. Kula. Symmetries of Lévy processes on compact quantum groups, their Markov semigroups and potential theory. J. Funct. Anal., 266(5):2789–2844, 2014.
Zobacz w Google Scholar

François Combes. Poids et espérances conditionnelles dans les algèbres de von Neumann. Bull. Soc. Math. France, 99:73–112, 1971.
Zobacz w Google Scholar

Alain Connes. Une classification des facteurs de type III. Ann. Sci. École Norm. Sup. (4), 6:133–252, 1973.
Zobacz w Google Scholar

A. Connes. On the spatial theory of von Neumann algebras. J. Functional Analysis, 35(2):153–164, 1980.
Zobacz w Google Scholar

Martijn Caspers, Javier Parcet, Mathilde Perrin, and Éric Ricard. Noncommutative de Leeuw theorems. Forum Math. Sigma, 3:e21, 59, 2015.
Zobacz w Google Scholar

Ioana Ciorănescu and László Zsidó. Analytic generators for one-parameter groups. Tohoku Math. J. (2), 28(3):327–362, 1976.
Zobacz w Google Scholar

Kenneth R. Davidson. C⚹-algebras by example, volume 6 of Fields Institute Monographs. American Mathematical Society, Providence, RI, 1996.
Zobacz w Google Scholar

Peter G. Dodds, Theresa K.-Y. Dodds, and Ben de Pagter. Noncommutative Banach function spaces. Math. Z., 201(4):583–597, 1989.
Zobacz w Google Scholar

Peter G. Dodds, Theresa K. Dodds, and Ben de Pagter. Fully symmetric operator spaces. Integral Equations Operator Theory, 15(6):942–972, 1992.
Zobacz w Google Scholar

Peter G. Dodds, Theresa K.-Y. Dodds, and Ben de Pagter. Noncommutative Köthe duality. Trans. Amer. Math. Soc., 339(2):717–750, 1993.
Zobacz w Google Scholar

P.G. Dodds, B. de Pagter, and F. Sukochev. Theory of noncommutative integration. work in progress.
Zobacz w Google Scholar

M. Daws, P. Fima, A. Skalski, and S. White. The Haagerup property for locally compact quantum groups. J. Reine Angew. Math., 711:189–229, 2016.
Zobacz w Google Scholar

Trond Digernes. Duality for weights on covariant systems and its applications. ProQuest LLC, Ann Arbor, MI, 1975. Thesis (Ph.D.) – University of California, Los Angeles.
Zobacz w Google Scholar

J. Dixmier. Formes linéaires sur un anneau d’opérateurs. Bull. Soc. Math. France, 81:9–39, 1953.
Zobacz w Google Scholar

Jacques Dixmier. Les algèbres d’opérateurs dans l’espace hilbertien (Algèbres de von Neumann). Cahiers scientifiques, Fascicule XXV. Gauthier-Villars, Paris, 1957.
Zobacz w Google Scholar

P. G. Dixon. Unbounded operator algebras. Proc. London Math. Soc. (3), 23:53–69, 1971.
Zobacz w Google Scholar

Jacques Dixmier. von Neumann algebras, volume 27 of North-Holland Mathematical Library. North-Holland Publishing Co., Amsterdam–New York, 1981. With a preface by E. C. Lance, Translated from the second French edition by F. Jellett.
Zobacz w Google Scholar

Jacques Dixmier. Les algèbres d’opérateurs dans l’espace hilbertien (algèbres de von Neumann). Les Grands Classiques Gauthier-Villars. [GauthierVillars Great Classics]. Éditions Jacques Gabay, Paris, 1996. Reprint of the second (1969) edition.
Zobacz w Google Scholar

Jacques Dixmier. Les C⚹-algèbres et leurs représentations. Les Grands Classiques Gauthier-Villars. [Gauthier-Villars Great Classics]. Éditions Jacques Gabay, Paris, 1996. Reprint of the second (1969) edition.
Zobacz w Google Scholar

M. Daws, P. Kasprzak, A. Skalski, and P.M. Soltan. Closed quantum subgroups of locally compact quantum groups. Adv. Math., 231(6):3473–3501, 2012.
Zobacz w Google Scholar

R. J. DiPerna and P.-L. Lions. On the Fokker-Planck-Boltzmann equation. Comm. Math. Phys., 120(1):1–23, 1988.
Zobacz w Google Scholar

R. J. DiPerna and P.-L. Lions. On the Cauchy problem for Boltzmann equations: global existence and weak stability. Ann. of Math. (2), 130(2):321–366, 1989.
Zobacz w Google Scholar

B. de Pagter. Non-commutative Banach function spaces. In Positivity, Trends Math., pages 197–227. Birkhäuser, 2007.
Zobacz w Google Scholar

Peter A. Fillmore. A user’s guide to operator algebras. Canadian Mathematical Society Series of Monographs and Advanced Texts. John Wiley & Sons, Inc., New York, 1996. A Wiley-Interscience Publication.
Zobacz w Google Scholar

M. Fragoulopoulou, A. Inoue, and M. Weigt. Tensor products of unbounded operator algebras. Rocky Mountain J. Math., 44(3):895–912, 2014.
Zobacz w Google Scholar

Bent Fuglede and Richard V. Kadison. Determinant theory in finite factors. Ann. of Math. (2), 55:520–530, 1952.
Zobacz w Google Scholar

Thierry Fack and Hideki Kosaki. Generalized s-numbers of τ-measurable operators. Pacific J. Math., 123(2):269–300, 1986.
Zobacz w Google Scholar

U. Franz and A. Skalski. On idempotent states on quantum groups. J. Algebra, 322(5):1774–1802, 2009.
Zobacz w Google Scholar

L. Terrell Gardner. An inequality characterizes the trace. Canadian J. Math., 31(6):1322–1328, 1979.
Zobacz w Google Scholar

Stanisław Goldstein and J. Martin Lindsay. KMS-symmetric Markov semigroups. Math. Z., 219(4):591–608, 1995.
Zobacz w Google Scholar

Stanisław Goldstein and J. Martin Lindsay. Markov semigroups KMSsymmetric for a weight. Math. Ann., 313(1):39–67, 1999.
Zobacz w Google Scholar

Stanisław Goldstein, J. Martin Lindsay, and Adam Skalski. Nonsymmetric Dirichlet forms on nontracial von Neumann algebras. work in progress.
Zobacz w Google Scholar

Stanisław Goldstein and Adam Paszkiewicz. Infinite measures on von Neumann algebras. Internat. J. Theoret. Phys., 54(12):4341–4348, 2015.
Zobacz w Google Scholar

Uffe Haagerup. Normal weights on W⚹-algebras. J. Functional Analysis, 19:302–317, 1975.
Zobacz w Google Scholar

Uffe Haagerup. The standard form of von Neumann algebras. Math. Scand., 37(2):271–283, 1975.
Zobacz w Google Scholar

Uffe Haagerup. On the dual weights for crossed products of von Neumann algebras. I. Removing separability conditions. Math. Scand., 43(1):99–118, 1978.
Zobacz w Google Scholar

Uffe Haagerup. On the dual weights for crossed products of von Neumann algebras. II. Application of operator-valued weights. Math. Scand., 43(1):119–140, 1978.
Zobacz w Google Scholar

Uffe Haagerup. Lp-spaces associated with an arbitrary von Neumann algebra. In Algèbres d’opérateurs et leurs applications en physique mathématique (Proc. Colloq., Marseille, 1977), volume 274 of Colloq. Internat. CNRS, pages 175–184. CNRS, Paris, 1979.
Zobacz w Google Scholar

Uffe Haagerup. Operator-valued weights in von Neumann algebras. I. J. Functional Analysis, 32(2):175–206, 1979.
Zobacz w Google Scholar

Uffe Haagerup. Operator-valued weights in von Neumann algebras. II. J. Functional Analysis, 33(3):339–361, 1979.
Zobacz w Google Scholar

Michel Hilsum. Les espaces Lp d’une algèbre de von Neumann définies par la derivée spatiale. J. Functional Analysis, 40(2):151–169, 1981.
Zobacz w Google Scholar

Uffe Haagerup, Marius Junge, and Quanhua Xu. A reduction method for noncommutative Lp-spaces and applications. Trans. Amer. Math. Soc., 362(4):2125–2165, 2010.
Zobacz w Google Scholar

Herbert Halpern and Victor Kaftal. Compact operators in type IIIλ and type III0 factors. Math. Ann., 273(2):251–270, 1986.
Zobacz w Google Scholar

Herbert Halpern and Victor Kaftal. Compact operators in type IIIλ and type III0 factors. II. Tohoku Math. J. (2), 39(2):153–173, 1987.
Zobacz w Google Scholar

Herbert Halpern, Victor Kaftal, and László Zsidó. Finite weight projections in von Neumann algebras. Pacific J. Math., 147(1):81–121, 1991.
Zobacz w Google Scholar

G. H. Hardy, J. E. Littlewood, and G. Pólya. Some simple inequalities satisfied by convex functions. Messenger of Math., 58:145–152, 1929.
Zobacz w Google Scholar

G. H. Hardy, J. E. Littlewood, and G. Pólya. Inequalities. Cambridge Mathematical Library. Cambridge University Press, Cambridge, 1988. Reprint of the 1952 edition.
Zobacz w Google Scholar

Henryk Hudzik and Lech Maligranda. Amemiya norm equals Orlicz norm in general. Indag. Math. (N.S.), 11(4):573–585, 2000.
Zobacz w Google Scholar

G-X Ji. A noncommutative version of Hp and characterizations of subdiagonal subalgebras. Integr Equ Oper Theory, 72:131–149, 2012.
Zobacz w Google Scholar

G-X Ji. Analytic toeplitz algebras and the Hilbert transform associated with a subdiagonal algebra. Sc.i China Math., 57(3):579–588, 2014.
Zobacz w Google Scholar

Marius Junge, Tao Mei, and Javier Parcet. Smooth Fourier multipliers on group von Neumann algebras. Geom. Funct. Anal., 24(6):1913–1980, 2014.
Zobacz w Google Scholar

M. Junge, M. Neufang, and Z-J Ruan. A representation theorem for locally compact quantum groups. Internat. J. Math., 20(3):377–400, 2009.
Zobacz w Google Scholar

Marius Junge, Zhong-Jin Ruan, and David Sherman. A classification for 2-isometries of noncommutative Lp-spaces. Israel J. Math., 150:285–314, 2005.
Zobacz w Google Scholar

Victor Kaftal. On the theory of compact operators in von Neumann algebras. I. Indiana Univ. Math. J., 26(3):447–457, 1977.
Zobacz w Google Scholar

Victor Kaftal. On the theory of compact operators in von Neumann algebras. II. Pacific J. Math., 79(1):129–137, 1978.
Zobacz w Google Scholar

Irving Kaplansky. Rings of operators. W. A. Benjamin, Inc., New York– Amsterdam, 1968.
Zobacz w Google Scholar

Yitzhak Katznelson. An introduction to harmonic analysis. Cambridge Mathematical Library. Cambridge University Press, Cambridge, third edition, 2004.
Zobacz w Google Scholar

J. L. Kelley and Isaac Namioka. Linear topological spaces. With the collaboration of W. F. Donoghue, Jr., Kenneth R. Lucas, B. J. Pettis, Ebbe Thue Poulsen, G. Baley Price, Wendy Robertson, W. R. Scott, Kennan T. Smith. The University Series in Higher Mathematics. D. Van Nostrand Co., Inc., Princeton, N.J., 1963.
Zobacz w Google Scholar

Hideki Kosaki. Applications of the complex interpolation method to a von Neumann algebra: noncommutative Lp-spaces. J. Funct. Anal., 56(1):29–78, 1984.
Zobacz w Google Scholar

Hideki Kosaki. On the continuity of the map φ → |φ| from the predual of a W⚹ -algebra. J. Funct. Anal., 59(1):123–131, 1984.
Zobacz w Google Scholar

S. G. Kreĭn, Yu. I. Petunın, and E. M. Semënov. Interpolation of linear operators, volume 54 of Translations of Mathematical Monographs. American Mathematical Society, Providence, R.I., 1982. Translated from the Russian by J. Szűcs.
Zobacz w Google Scholar

Richard V. Kadison and John R. Ringrose. Fundamentals of the theory of operator algebras. Vol. I, volume 100 of Pure and Applied Mathematics. Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York, 1983. Elementary theory.
Zobacz w Google Scholar

Richard V. Kadison and John R. Ringrose. Fundamentals of the theory of operator algebras. Vol. II, volume 100 of Pure and Applied Mathematics. Academic Press, Inc., Orlando, FL, 1986. Advanced theory.
Zobacz w Google Scholar

R. A. Kunze. Lp Fourier transforms on locally compact unimodular groups. Trans. Amer. Math. Soc., 89:519–540, 1958.
Zobacz w Google Scholar

Wolfgang Kunze. Noncommutative Orlicz spaces and generalized Arens algebras. Math. Nachr., 147:123–138, 1990.
Zobacz w Google Scholar

Louis E. Labuschagne. A crossed product approach to Orlicz spaces. Proc. Lond. Math. Soc. (3), 107(5):965–1003, 2013.
Zobacz w Google Scholar

Louis Labuschagne. Invariant subspaces for H2 spaces of σ-finite algebras. Bull. Lond. Math. Soc., 49(1):33–44, 2017.
Zobacz w Google Scholar

L.E. Labuschagne and W.A. Majewski. Dynamics on noncommutative orlicz spaces. Acta Math. Sci. (to appear) see arXiv:1605.01210 [math-ph].
Zobacz w Google Scholar

Louis E. Labuschagne and Władysław A. Majewski. Maps on noncommutative Orlicz spaces. Illinois J. Math., 55(3):1053–1081 (2013), 2011.
Zobacz w Google Scholar

Labuschagne and W. A. Majewski. Integral and differential structures for quantum field theory, 2017. arXiv:1702.00665.
Zobacz w Google Scholar

W. A. Majewski. On quantum statistical mechanics: A study guide. Adv. Math. Phys, (2):Article ID 9343717, 2017.
Zobacz w Google Scholar

M. A. Muratov and V. I. Chilin. Topological algebras of measurable and locally measurable operators. Sovrem. Mat. Fundam. Napravl., 61:115–163, 2016.
Zobacz w Google Scholar

W. Adam Majewski and Louis E. Labuschagne. On applications of Orlicz spaces to statistical physics. Ann. Henri Poincaré, 15(6):1197–1221, 2014.
Zobacz w Google Scholar

W. A. Majewski and L. E. Labuschagne. On entropy for general quantum systems, 2018. arXiv:1804.05579, to appear in Adv. Theor. Math. Phys.
Zobacz w Google Scholar

Gerard J. Murphy. C∗-algebras and operator theory. Academic Press, Inc., Boston, MA, 1990.
Zobacz w Google Scholar

Julian Musielak. Orlicz spaces and modular spaces, volume 1034 of Lecture Notes in Mathematics. Springer-Verlag, Berlin, 1983.
Zobacz w Google Scholar

F. J. Murray and J. von Neumann. On rings of operators. Ann. of Math. (2), 37(1):116–229, 1936.
Zobacz w Google Scholar

F. J. Murray and J. von Neumann. On rings of operators. II. Trans. Amer. Math. Soc., 41(2):208–248, 1937.
Zobacz w Google Scholar

F. J. Murray and J. von Neumann. On rings of operators. IV. Ann. of Math. (2), 44:716–808, 1943.
Zobacz w Google Scholar

M. A. Naĭmark. Normed algebras. Wolters-Noordhoff Publishing, Groningen, third edition, 1972. Translated from the second Russian edition by Leo F. Boron, Wolters-Noordhoff Series of Monographs and Textbooks on Pure and Applied Mathematics.
Zobacz w Google Scholar

Edward Nelson. Notes on non-commutative integration. J. Functional Analysis, 15:103–116, 1974.
Zobacz w Google Scholar

Constantin P. Niculescu and Lars-Erik Persson. Convex functions and their applications, volume 23 of CMS Books in Mathematics/Ouvrages de Mathématiques de la SMC. Springer, New York, 2006. A contemporary approach.
Zobacz w Google Scholar

S. Neuwirth and E. Ricard. Transfer of Fourier multipliers into Schur multipliers and sumsets in a discrete group. Canad. J. Math., 63(5):1161–1187, 2011.
Zobacz w Google Scholar

Gert K. Pedersen. Analysis now, volume 118 of Graduate Texts in Mathematics. Springer-Verlag, New York, 1989.
Zobacz w Google Scholar

Gert K. Pedersen. C⚹ -algebras and their automorphism groups. Pure and Applied Mathematics (Amsterdam). Academic Press, London, 2018. Second edition of [ MR0548006], Edited and with a preface by Søren Eilers and Dorte Olesen.
Zobacz w Google Scholar

Robert T. Powers. Representations of uniformly hyperfinite algebras and their associated von Neumann rings. Ann. of Math. (2), 86:138–171, 1967.
Zobacz w Google Scholar

Giovanni Pistone and Carlo Sempi. An infinite-dimensional geometric structure on the space of all the probability measures equivalent to a given one. Ann. Statist., 23(5):1543–1561, 1995.
Zobacz w Google Scholar

Gert K. Pedersen and Masamichi Takesaki. The Radon-Nikodym theorem for von Neumann algebras. Acta Math., 130:53–87, 1973.
Zobacz w Google Scholar

Gilles Pisier and Quanhua Xu. Non-commutative Lp-spaces. In Handbook of the geometry of Banach spaces, Vol. 2, pages 1459–1517. North-Holland, Amsterdam, 2003.
Zobacz w Google Scholar

Walter Rudin. Real and complex analysis. McGraw-Hill Book Co., New York–Düsseldorf–Johannesburg, second edition, 1974. McGraw-Hill Series in Higher Mathematics.
Zobacz w Google Scholar

Shôichirô Sakai. A characterization of W⚹-algebras. Pacific J. Math., 6:763–773, 1956.
Zobacz w Google Scholar

Shôichirô Sakai. C⚹ -algebras and W⚹-algebras. Springer-Verlag, New York–Heidelberg, 1971. Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 60.
Zobacz w Google Scholar

S. Sankaran. The ⚹-algebra of unbounded operators. J. London Math. Soc., 34:337–344, 1959.
Zobacz w Google Scholar

Lothar M. Schmitt. The Radon-Nikodým theorem for Lp-spaces of W⚹ -algebras. Publ. Res. Inst. Math. Sci., 22(6):1025–1034, 1986.
Zobacz w Google Scholar

I. E. Segal. A non-commutative extension of abstract integration. Ann. of Math. (2), 57:401–457, 1953.
Zobacz w Google Scholar

David Sherman. Noncommutative Lp structure encodes exactly Jordan structure. J. Funct. Anal., 221(1):150–166, 2005.
Zobacz w Google Scholar

Şerban Strătilă. Modular theory in operator algebras. Editura Academiei Republicii Socialiste România, Bucharest; Abacus Press, Tunbridge Wells, 1981. Translated from the Romanian by the author.
Zobacz w Google Scholar

R. F. Streater. Quantum Orlicz spaces in information geometry. Open Syst. Inf. Dyn., 11(4):359–375, 2004.
Zobacz w Google Scholar

A. I. Stolyarov, O. E. Tikhonov, and A. N. Sherstnev. Characterization of normal traces on von Neumann algebras by inequalities for the modulus. Mat. Zametki, 72(3):448–454, 2002.
Zobacz w Google Scholar

V. S. Sunder. An invitation to von Neumann algebras. Universitext. Springer-Verlag, New York, 1987.
Zobacz w Google Scholar

Stephen J. Summers and Reinhard Werner. Maximal violation of Bell’s inequalities is generic in quantum field theory. Comm. Math. Phys., 110(2):247–259, 1987.
Zobacz w Google Scholar

Anton Ströh and Graeme P. West. τ -compact operators affiliated to a semifinite von Neumann algebra. Proc. Roy. Irish Acad. Sect. A, 93(1):73–86, 1993.
Zobacz w Google Scholar

H. H. Schaefer and M. P. Wolff. Topological vector spaces, volume 3 of Graduate Texts in Mathematics. Springer-Verlag, New York, second edition, 1999.
Zobacz w Google Scholar

Şerban Strătilă and László Zsidó. Lectures on von Neumann algebras. Editura Academiei, Bucharest; Abacus Press, Tunbridge Wells, 1979. Revision of the 1975 original, Translated from the Romanian by Silviu Teleman.
Zobacz w Google Scholar

M. Takesaki. Tomita’s theory of modular Hilbert algebras and its applications. Lecture Notes in Mathematics, Vol. 128. Springer-Verlag, Berlin-New York, 1970.
Zobacz w Google Scholar

M. Takesaki. Theory of operator algebras. I, volume 124 of Encyclopaedia of Mathematical Sciences. Springer-Verlag, Berlin, 2002. Reprint of the first (1979) edition, Operator Algebras and Non-commutative Geometry, 5.
Zobacz w Google Scholar

M. Takesaki. Theory of operator algebras. II, volume 125 of Encyclopaedia of Mathematical Sciences. Springer-Verlag, Berlin, 2003. Operator Algebras and Non-commutative Geometry, 6.
Zobacz w Google Scholar

M. Takesaki. Theory of operator algebras. III, volume 127 of Encyclopaedia of Mathematical Sciences. Springer-Verlag, Berlin, 2003. Operator Algebras and Non-commutative Geometry, 8.
Zobacz w Google Scholar

Zs. Tarcsay. On form sums of positive operators. Acta Math. Hungar., 140(1– 2):187–201, 2013.
Zobacz w Google Scholar

M. Terp. Lp spaces associated with von Neumann algebras. Rapport No 3a, Københavns Universitet, Mathematisk Institut, 1981.
Zobacz w Google Scholar

Marianne Terp. Interpolation spaces between a von Neumann algebra and its predual. J. Operator Theory, 8(2):327–360, 1982.
Zobacz w Google Scholar

Marianne Terp. Lp Fourier transformation on non-unimodular locally compact groups. Adv. Oper. Theory, 2(4):547–583, 2017.
Zobacz w Google Scholar

J. Tomiyama. Tensor products and projections of norm one in von Neumann algebras. Lecture Notes, University of Copenhagen, 1970.
Zobacz w Google Scholar

N. V. Trunov. Locally finite weights on von Neumann algebras (in Russian). Dep. VINITI No. 101-79, Kazan. Gos. Univ., Kazan′, 1978. No. 101–79.
Zobacz w Google Scholar

N. V. Trunov. On the theory of normal weights on von Neumann algebras (in Russian). Izv. Vyssh. Uchebn. Zaved. Mat., (8):61–70, 1982.
Zobacz w Google Scholar

N. V. Trunov. Locally finite weights on von Neumann algebras, and quadratic forms (in Russian). In Constructive theory of functions and functional analysis, No. V, pages 80–94. Kazan. Gos. Univ., Kazan′, 1985.
Zobacz w Google Scholar

Stefaan Vaes. A Radon-Nikodym theorem for von Neumann algebras. J. Operator Theory, 46(3, suppl.):477–489, 2001.
Zobacz w Google Scholar

A. van Daele. Continuous crossed products and type III von Neumann algebras, volume 31 of London Mathematical Society Lecture Note Series. Cambridge University Press, Cambridge-New York, 1978.
Zobacz w Google Scholar

Cédric Villani. A review of mathematical topics in collisional kinetic theory. In Handbook of mathematical fluid dynamics, Vol. I, pages 71–305. NorthHolland, Amsterdam, 2002.
Zobacz w Google Scholar

J. v. Neumann. Zur Algebra der Funktionaloperationen und Theorie der normalen Operatoren. Math. Ann., 102(1):370–427, 1930.
Zobacz w Google Scholar

J. v. Neumann. On rings of operators. III. Ann. of Math. (2), 41:94–161, 1940.
Zobacz w Google Scholar

John von Neumann. On rings of operators. Reduction theory. Ann. of Math. (2), 50:401–485, 1949.
Zobacz w Google Scholar

Martin Weigt. Jordan homomorphisms between algebras of measurable operators. Quaest. Math., 32(2):203–214, 2009.
Zobacz w Google Scholar

Quanhua Xu. On the maximality of subdiagonal algebras. J. Operator Theory, 54(1):137–146, 2005.
Zobacz w Google Scholar

Quanhua Xu. Operator spaces and noncommutative Lp. Online, 2007. Summer School on Banach spaces and Operator spaces, Nankia University.
Zobacz w Google Scholar

F. J. Yeadon. Convergence of measurable operators. Proc. Cambridge Philos. Soc., 74:257–268, 1973.
Zobacz w Google Scholar

F. J. Yeadon. Non-commutative Lp-spaces. Math. Proc. Cambridge Philos. Soc., 77:91–102, 1975.
Zobacz w Google Scholar

F. J. Yeadon. Isometries of noncommutative Lp-spaces. Math. Proc. Cambridge Philos. Soc., 90(1):41–50, 1981.
Zobacz w Google Scholar

F. J. Yeadon. On a result of P. G. Dixon. J. London Math. Soc. (2), 9:610– 612, 1974/75.
Zobacz w Google Scholar

Jakob Yngvason. The role of type III factors in quantum field theory. Rep. Math. Phys., 55(1):135–147, 2005.
Zobacz w Google Scholar

Bogusław Zegarliński. Log-Sobolev inequalities for infinite one-dimensional lattice systems. Comm. Math. Phys., 133(1):147–162, 1990.
Zobacz w Google Scholar

Ke He Zhu. An introduction to operator algebras. Studies in Advanced Mathematics. CRC Press, Boca Raton, FL, 1993.
Zobacz w Google Scholar