Geometric properties of noncommutative symmetric spaces of measurable operators and unitary matrix ideals

DOI10.14708/cm.v57i1.3291zbMath1416.46016arXiv1704.02033OpenAlexW2964344048MaRDI QIDQ4968343

M. M. Czerwińska, Anna H. Kaminska

Publication date: 12 July 2019

Published in: Commentationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.02033

zbMATH Keywords

monotonicityrearrangement invariant spacessymmetric spaces of measurable operatorsunitary matrix spacescomplex extreme pointscomplex convexity(local) uniform (complex and real) convexity$k$-convexity$k$-extreme points$p$-convexity

Mathematics Subject Classification ID

Problem books (00A07) Geometry and structure of normed linear spaces (46B20) Spaces of operators; tensor products; approximation properties (46B28) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Linear spaces of operators (47L05) Operator ideals (47L20)

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On Arazy's problem concerning isomorphic embeddings of ideals of compact operators ⋮ Non-commutative analogues of weak compactness criteria in symmetric spaces ⋮ Notes on derivations of Murray-von Neumann algebras ⋮ Alberti-Uhlmann problem on Hardy-Littlewood-Pólya majorization ⋮ Extreme points of the set of elements majorised by an integrable function: resolution of a problem by Luxemburg and of its noncommutative counterpart ⋮ Operator \(\theta\)-Hölder functions ⋮ Higher derivatives of operator functions in ideals of von Neumann algebras

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