Applications of the complex interpolation method to a von Neumann algebra: Non-commutative Lp-spaces

Hideki Kosaki

Type: Article

Publication Date: 1984-03-01

Citations: 185

DOI: https://doi.org/10.1016/0022-1236(84)90025-9

View Publication

Locations

Journal of Functional Analysis - View

Similar Works

Action	Title	Year	Authors
+	Constructions of Non-Commutative L<sup>p</sup>-Spaces with a Complex Parameter Arising from Modular Actions	1997	Hideaki Izumi
+	Complex interpolation of noncommutative Hardy spaces associated semifinite von Neumann algebra	2017	Turdebek N. Bekjan Kordan N. Ospanov
+	Complex interpolation of noncommutative Hardy spaces associated semifinite von Neumann algebra	2017	Turdebek N. Bekjan Kordan N. Ospanov
+	Complex Interpolation of Noncommutative Hardy Spaces Associated with Semifinite von Neumann Algebras	2019	Turdebek N. Bekjan Kordan N. Ospanov
+	𝐿_{𝑝}-spaces associated with a von Neumann algebra without trace: a gentle introduction via complex interpolation	2003	Yves Raynaud
+ PDF Chat	Notes on Real Interpolation of Operator Lp-Spaces	2021	Marius Junge Quanhua Xu
+	A description of $(C_p[L_p(M)], R_p[L_p(M)])_θ$	2005	Quanhua Xu
+ PDF Chat	Closed subspaces and some basic topological properties of noncommutative Orlicz spaces	2017	Lining Jiang Zhenhua Ma
+	Notes on real interpolation of operator $L_p$-spaces	2021	Marius Junge Quanhua Xu
+	Generalized duality and product of some noncommutative symmetric spaces	2016	Yazhou Han
+ PDF Chat	Non-commutative Lorentz spaces associated with a semi-finite von Neumann algebra and applications	1981	Hideki Kosaki
+	A description of $(C_p[L_p(M)], R_p[L_p(M)])_\theta$	2005	Quanhua Xu
+	Closed subspaces and some basic topological properties of noncommutative Orlicz spaces	2016	Lining Jiang Zhenhua Ma
+	NATURAL BILINEAR FORMS, NATURAL SESQUILINEAR FORMS AND THE ASSOCIATED DUALITY ON NON-COMMUTATIVE L<sup>p</sup>-SPACES	1998	Hideaki Izumi
+	Noncommutative <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msup></mml:math> structure encodes exactly Jordan structure	2004	David K. Sherman
+ PDF Chat	Rényi Divergences as Weighted Non-commutative Vector-Valued $$L_p$$ L p -Spaces	2018	Mario Berta Volkher B. Scholz Marco Tomamichel
+	On the Structure of Isometries between Noncommutative $L^p$ Spaces	2006	David K. Sherman
+ PDF Chat	Interpolation of Haagerup noncommutative Hardy spaces	2019	Turdebek N. Bekjan Madi Raikhan
+	Complex interpolation and Calderón product of quasi-Banach spaces	2016	Wen Yuan
+	Complex interpolation and Calderon product of quasi-Banach spaces	2016	Wen  Yuan

Works That Cite This (182)

Action	Title	Year	Authors
+ PDF Chat	Galois Correspondence and Fourier Analysis on Local Discrete Subfactors	2022	Marcel Bischoff Simone Del Vecchio Luca Giorgetti
+ PDF Chat	The sharp weighted maximal inequalities for noncommutative martingales	2023	Tomasz Gałązka Yong Jiao Adam Osȩkowski Lian Wu
+ PDF Chat	A Minkowski Type Trace Inequality and Strong Subadditivity of Quantum Entropy II: Convexity and Concavity	2008	Eric A. Carlen Élliott H. Lieb
+ PDF Chat	Capacity Estimates via Comparison with TRO Channels	2018	Li Gao Marius Junge Nicholas LaRacuente
+ PDF Chat	Smooth Dense Subalgebras and Fourier Multipliers on Compact Quantum Groups	2018	Rauan Akylzhanov Shahn Majid Michael Ruzhansky
+	Convexit�s uniformes et in�galit�s de martingales	1990	Xu Quanhua
+ PDF Chat	Approximation properties for noncommutative Lp-spaces associated with discrete groups	2003	Marius Junge Zhong‐Jin Ruan
+	Recovering the QNEC from the ANEC	2018	Fikret Ceyhan Thomas Faulkner
+	Some operator ideals in non-commutative functional analysis	1997	Francesco Fidaleo
+	Banach embedding properties of non-commutative L^p-spaces	2000	Uffe Haagerup Haskell P. Rosenthal Fedor Sukochev

Works Cited by This (34)

Action	Title	Year	Authors
+	Topological vector spaces, distributions and kernels	2006	François Trèves
+	Introduction to Fourier Analysis on Euclidean Spaces.	1971	Elias M. Stein Guido Weiss
+	Methods of Modern Mathematical Physics	1972	Michael C. Reed Barry Simon
+	Trace Ideals and Their Applications	2010	Barry Simon
+ PDF Chat	Applications of uniform convexity of noncommutative 𝐿^{𝑝}-spaces	1984	Hideki Kosaki
+	Les espaces Lp d'une algèbre de von Neumann définies par la derivée spatiale	1981	Michel Hilsum
+	On the spatial theory of von Neumann algebras	1980	Alain Connes
+ PDF Chat	Interpolation theory and the Wigner-Yanase-Dyson-Lieb concavity	1982	Hideki Kosaki
+ PDF Chat	Multiple Time Analyticity of a Quantum Statistical State Satisfying the KMS Boundary Condition	1968	Huzihiro Araki
+	Form convex functions and the wydl and other inequalities	1978	W. Pusz S. L. Woronowicz