Majorizations for generalized s-numbers in semifinite von Neumann algebras
From MaRDI portal
Publication:1079784
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
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
General theory of von Neumann algebras (46L10) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10)
Related Items
\(L_p\)-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
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Weak spectral order of Hardy, Littlewood and Pólya
- Majorization and Stochastic maps in von Neumann algebras
- Spectral scale of selfadjoint operators and trace inequalities
- Spectral inequalities involving the sums and products of functions
- Non-commutative Lorentz spaces associated with a semi-finite von Neumann algebra and applications
- Notes on non-commutative integration
- Generalized s-numbers of \(\tau\)-measurable operators
- Interpolation theorems for operators in function spaces
- Interpolation non linéaire et régularité
- On rings of operators
- A non-commutative extension of abstract integration
- Some Extensions of a Theorem of Hardy, Littlewood and Pólya and Their Applications
- THE EIGEN- AND SINGULAR VALUES OF THE SUM AND PRODUCT OF LINEAR OPERATORS
- Inequalities: theory of majorization and its applications
