Hölder and Young inequalities for the trace of operators

DOI10.1007/s11117-006-2054-6zbMath1122.15025OpenAlexW1967809207MaRDI QIDQ885063

Seyed Mahmoud Manjegani

Publication date: 7 June 2007

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-006-2054-6

zbMATH Keywords

von Neumann algebrassingular valuesHölder's inequalityYoung's inequalitytrace of operators

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45) Equations and inequalities involving linear operators, with vector unknowns (47A50) Linear operators in (C^*)- or von Neumann algebras (47C15)

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Cites Work

• Majorizations for generalized s-numbers in semifinite von Neumann algebras
• An inequality for generalized s-numbers
• Majorization and Stochastic maps in von Neumann algebras
• Young's inequality in trace-class operators
• Matrix Young inequalities for the Hilbert-Schmidt norm
• On the Singular Values of a Product of Operators
• An Inequality of Araki-Lieb-Thirring (Von Neumann Algebra Case)
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