M-embedded symmetric operator spaces and the derivation problem

DOI10.1017/S030500411900029XzbMath1485.46069OpenAlexW2969483165MaRDI QIDQ4958672

Galina Levitina, Jinghao Huang, Pheodor A. Sukochev

Publication date: 14 September 2021

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

Full work available at URL: https://doi.org/10.1017/s030500411900029x

zbMATH Keywords

derivationfully symmetric$M$-idealnoncommutative function space\(M\)-embedded

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Isometric theory of Banach spaces (46B04) Noncommutative function spaces (46L52)

Related Items

Lack of isomorphic embeddings of symmetric function spaces into operator ideals, On Arazy's problem concerning isomorphic embeddings of ideals of compact operators, Non-commutative analogues of weak compactness criteria in symmetric spaces, Derivations with values in noncommutative symmetric spaces, Norms of skew-adjoint derivations with values in the predual of a semifinite von Neumann algebra, Alberti-Uhlmann problem on Hardy-Littlewood-Pólya majorization, Derivations with values in the ideal of \(\tau\)-compact operators affiliated with a semifinite von Neumann algebra

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Singular traces. Theory and applications
• A fixed point theorem for \(L ^{1}\) spaces
• Derivations with values in ideals of semifinite von Neumann algebras
• Commutator estimates in \(W\)*-algebras
• \(M\)-ideals in Banach spaces and Banach algebras
• Weak\(*\) convergence in the dual of weak \(L^{p}\)
• Orbits in symmetric spaces
• Compact derivations relative to semifinite von Neumann algebras
• The commutant modulo the set of compact operators of a von Neumann algebra
• Derivations of von Neumann algebras into the compact ideal space of a semifinite algebra
• Notes on non-commutative integration
• The dual of weak \(L^p\)
• Generalized s-numbers of \(\tau\)-measurable operators
• Theory of operator algebras. II
• Continuity of derivations of algebras of locally measurable operators
• Normed Köthe spaces: a non-commutative viewpoint
• Sums and intersections of symmetric operator spaces
• \(L\)-embedded Banach spaces and measure topology
• Operators commuting with a von Neumann algebra modulo the set of compact operators
• Structure in real Banach spaces. I and II
• Operator algebras. Theory of \(C^*\)-algebras and von Neumann algebras
• A non-commutative extension of abstract integration
• Sets of uniformly absolutely continuous norm in symmetric spaces of measurable operators
• Commutator estimates in $W^{*}$-factors
• Continuous derivations on algebras of locally measurable operators are inner
• Derivations with values in quasi-normed bimodules of locally measurable operators
• Noncommutative Kothe Duality
• Symmetric norms and spaces of operators
• New classes of Banach spaces which are M-ideals in their biduals
• Derivations, Homomorphisms, and Operator Ideals
• Automatic Continuity of Derivations of Operator Algebras
• Cohomology in Banach algebras
• COMMUTATOR ESTIMATES AND $\RR$-FLOWS IN NON-COMMUTATIVE OPERATOR SPACES