Majorizations for generalized s-numbers in semifinite von Neumann algebras

DOI10.1007/BF01161595zbMath0598.46039OpenAlexW1965146527MaRDI QIDQ1079784

Fumio Hiai, Yoshihiro Nakamura

Publication date: 1987

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/183669

zbMATH Keywords

matrix algebrainterpolation methodnorm inequalitieseigenvalues of matricesgeneralized s-numbersLidskii-Wielandt theoremnoncommutative Lebesgue-Lorentz spacesspectral scales of \(\tau \)-measurable operators affiliated with a semifinite von Neumann algebra

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10)

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\(L_p\)-bounds for the Krein spectral shift function: \(0<p<\infty\), An inequality for generalized s-numbers, Non-commutative Banach function spaces, A softer, stronger Lidskii theorem, SOME ASPECTS OF THE THEORY OF SYMMETRIC OPERATOR SPACES, Hölder and Young inequalities for the trace of operators, Some inequalities and majorization for products of \(\tau\)-measurable operators, Extensions of Nazarov-Podkorytov lemma in non-commutative spaces of \(\tau\)-measurable operators, On Young and Heinz inequalities for faithful tracial states, Closed Convex Hulls of Unitary Orbits in von Neumann Algebras, Alberti-Uhlmann problem on Hardy-Littlewood-Pólya majorization, Klyachko's theorem in semi-finite von Neumann algebras, Optimal bounds on the positivity of a matrix from a few moments, Some results on non-commutative Banach function spaces, Extreme points of the set of elements majorised by an integrable function: resolution of a problem by Luxemburg and of its noncommutative counterpart, Thompson’s theorem for $II_1$ factors, Majorisation and the carpenter's theorem, Anti-norms on finite von Neumann algebras, Majorizations and inequalities in matrix theory

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