Optimal constants in non-commutative Hölder inequality for quasi-norms

DOI10.1090/proc/15442zbMath1477.46071OpenAlexW3112826929MaRDI QIDQ5002546

Dmitriy Zanin, Pheodor A. Sukochev

Publication date: 28 July 2021

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

Full work available at URL: https://doi.org/10.1090/proc/15442

zbMATH Keywords

principal idealsnoncommutative Hölder inequality

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) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Noncommutative function spaces (46L52)

Related Items (5)

Cwikel estimates and negative eigenvalues of Schrödinger operators on noncommutative tori ⋮ Spectral metric and Einstein functionals ⋮ Resolution of a problem by Simon concerning Schrödinger operators via methods from noncommutative geometry ⋮ Dixmier trace formulas and negative eigenvalues of Schrödinger operators on curved noncommutative tori ⋮ Asymptotics of singular values for quantum derivatives

Cites Work

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• Singular traces. Theory and applications
• Dimensions and singular traces for spectral triples, with applications to fractals
• Convolution operators and L(p, q) spaces
• Hölder inequality for symmetric operator spaces and trace property of K-cycles
• Hölder's inequality for roots of symmetric operator spaces

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