\(L_ p\)-spaces for von Neumann algebra with reference to a faithful normal semifinite weight

DOI10.2977/prims/1195182447zbMath0529.46049OpenAlexW2023937432MaRDI QIDQ787445

Tetsuya Masuda

Publication date: 1983

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195182447

zbMATH Keywords

Hölder inequalitycontinuous group actionJordan decompositionsfaithful normal semifinite weightlinear space of closed linear operatorsLp-spaces for von Neumann algebrarelative modular operatorTomita algebra

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) General theory of von Neumann algebras (46L10) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51)

Related Items

CONNECTIONS ON STATISTICAL MANIFOLDS OF DENSITY OPERATORS BY GEOMETRY OF NONCOMMUTATIVE L^p-SPACES ⋮ QUANTUM INFORMATION GEOMETRY AND NONCOMMUTATIVE L_p-SPACES ⋮ The General Form of γ-Family of Quantum Relative Entropies ⋮ Introduction to the theory of noncommutative integration ⋮ A note on a theorem of A. Connes on Radon-Nikodym cocycles ⋮ Fixed points and limits of convolution powers of contractive quantum measures ⋮ NATURAL BILINEAR FORMS, NATURAL SESQUILINEAR FORMS AND THE ASSOCIATED DUALITY ON NON-COMMUTATIVE L^p-SPACES

Cites Work

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