Weakly compact subsets of symmetric operator spaces

DOI10.1017/S0305004100070225zbMath0767.46040OpenAlexW2110859265MaRDI QIDQ3977025

Ben de Pagter, Theresa K.-Y. Dodds, Peter G. Dodds

Publication date: 25 June 1992

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100070225

zbMATH Keywords

relatively weakly compactproperly symmetric Banach space of measurable operators affiliated with a semifinite von Neumann algebrarearrangement invariant hull of a weakly compact subset

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Convex sets and cones of operators (47L07) Compactness in topological linear spaces; angelic spaces, etc. (46A50)

Related Items (10)

Mackey topologies and mixed topologies in Riesz spaces ⋮ On Arazy's problem concerning isomorphic embeddings of ideals of compact operators ⋮ SOME ASPECTS OF THE THEORY OF SYMMETRIC OPERATOR SPACES ⋮ On weak\(^*\) convergent sequences in duals of symmetric spaces of \(\tau\)-measurable operators ⋮ Properties (u) and (V\(^*\)) of Pelczynski in symmetric spaces of \(\tau \)-measurable operators ⋮ Derivations with values in noncommutative symmetric spaces ⋮ Normed Köthe spaces: a non-commutative viewpoint ⋮ Sets of uniformly absolutely continuous norm in symmetric spaces of measurable operators ⋮ The non-commutative Yosida-Hewitt decomposition revisited ⋮ (Non-)Dunford-Pettis operators on noncommutative symmetric spaces

Cites Work

• Unnamed Item
• Non-commutative Banach function spaces
• Notes on non-commutative integration
• Generalized s-numbers of \(\tau\)-measurable operators
• On fundamental properties of a Banach space with a cone
• Orbits of L 1 -Functions Under Doubly Stochastic Transformation
• On Symmetric Sequence Spaces
• On Ideals of Operators in Hilbert Space
• The Dual Space of an Operator Algebra
• Spectral Orders, Uniform Integrability and Lebesgue's Dominated Convergence Theorem

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