An analogue of a Hardy-Littlewood-Fejer inequality for upper triangular trace class operators

DOI10.1007/BF01215477zbMath0495.47027OpenAlexW2037873291MaRDI QIDQ1169668

Allen L. Shields

Publication date: 1983

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

Full work available at URL: https://eudml.org/doc/173297

zbMATH Keywords

Hardy spaceHardy-Littlewood-Fejer inequalityNeuman-Schatten classes of compact operatorsupper triangular trace class operators

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Abstract operator algebras on Hilbert spaces (47L30) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51)

Related Items (7)

A new characterization of Bergman-Schatten spaces and a duality result ⋮ Cyclic Vectors in the Dirichlet Space ⋮ Factorisation in nest algebras ⋮ Besov-Schatten spaces ⋮ A weak-type \((\infty,\infty)\) inequality for the triangular projection ⋮ Factorisation in nest algebras. II ⋮ Factorization in analytic operator algebras

Cites Work

• Nest algebras and similarity transformations
• Über eine Ungleichung von Schur
• Interpolation problems in nest algebras
• Schur multipliers
• \(c_ p\)
• Hadamard products and multivariate statistical analysis
• Shorter Notes: Schur's Generalization of Hilbert's Inequality
• Every n × n Matrix Z with Real Spectrum Satisfies || Z - Z ∗ || ≦ || Z + Z ∗ || (log 2 n + 0.038)
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: An analogue of a Hardy-Littlewood-Fejer inequality for upper triangular trace class operators