Hölder inequality for symmetric operator spaces and trace property of K-cycles

DOI10.1112/blms/bdw022zbMath1380.47008OpenAlexW2403849910MaRDI QIDQ3188365

Pheodor A. Sukochev

Publication date: 19 August 2016

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/blms/bdw022

zbMATH Keywords

Hölder inequalityspectral triplesymmetric operator spacesymmetric function spacegeneralized singular valueHardy-Littlewood majorization

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operator inequalities (47A63) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Operator spaces and completely bounded maps (46L07) Noncommutative measure and integration (46L51) Noncommutative geometry (à la Connes) (58B34)

Related Items (10)

Hölder-type inequalities of measurable operators ⋮ A property of conditional expectation ⋮ On products of noncommutative symmetric quasi Banach spaces and applications ⋮ Multiplication operators on non-commutative spaces ⋮ On interpolation of noncommutative symmetric Hardy spaces ⋮ Powers of symmetric sequence ideals ⋮ Operator θ$\theta$‐Hölder functions with respect to ∥·∥p$\Vert \cdot \Vert _p$, 0<p⩽∞$0&lt; p\leqslant \infty$ ⋮ Logarithmic submajorization, uniform majorization and Hölder type inequalities for \(\tau \)-measurable operators ⋮ Integral Formula for Spectral Flow for -Summable Operators ⋮ Optimal constants in non-commutative Hölder inequality for quasi-norms

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Singular traces. Theory and applications
• Measure theory in noncommutative spaces
• Fully symmetric functionals on a Marcinkiewicz space are Dixmier traces
• Gravity coupled with matter and the foundation of non-commutative geometry
• The Dixmier trace and asymptotics of zeta functions
• Notes on non-commutative integration
• The spectral action principle
• Dimensions and singular traces for spectral triples, with applications to fractals
• Generalized s-numbers of \(\tau\)-measurable operators
• Theory of operator algebras. II
• On \(p\)-convexity and \(q\)-concavity in non-commutative symmetric spaces
• Sets of uniformly absolutely continuous norm in symmetric spaces of measurable operators
• Hölder's inequality for roots of symmetric operator spaces
• Symmetric norms and spaces of operators
• A remark on trace properties of K-cycles
• Rearrangement-Invariant Functionals with Applications to Traces on Symmetrically Normed Ideals

This page was built for publication: Hölder inequality for symmetric operator spaces and trace property of K-cycles