Linear-topological classification of separable \(L_p\)-spaces associated with von Neumann algebras of type I

DOI10.1007/BF02810584zbMath0962.46046MaRDI QIDQ1972375

Pheodor A. Sukochev

Publication date: 13 June 2001

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

classificationseparable \(L_p\)-spacesvon Neumann algebras of type I

Mathematics Subject Classification ID

Classifications of (C^*)-algebras (46L35) Noncommutative function spaces (46L52)

Related Items (6)

Fréchet differentiability of \(\mathcal{S}^p\) norms ⋮ Renormings and the fixed point property in non-commutative \(L_{1}\)-spaces ⋮ Noncommutative \(L^p\) structure encodes exactly Jordan structure ⋮ Geometric properties of noncommutative symmetric spaces of measurable operators and unitary matrix ideals ⋮ Some noncommutative subsequential weighted individual ergodic theorems ⋮ (Non-)Dunford-Pettis operators on noncommutative symmetric spaces

Cites Work

• Absolutely summing operators and local unconditional structures
• Generalized s-numbers of \(\tau\)-measurable operators
• \(c_ p\)
• A non-commutative extension of abstract integration
• The Dunford-Pettis property in C*-algebras
• Abstract Spectral Decompositions Guaranteed by the Hilbert Transform
• Isometries of non-commutative L^p-spaces
• Non-isomorphism of 𝐿_{𝑝}-spaces associated with finite and infinite von Neumann algebras
• The homotopy structure of the linear group of a Banach space
• Linear Operations on Summable Functions
• Sur Les Applications Lineaires Faiblement Compactes D'Espaces Du Type C(K)
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