Quadratic weighted geometric mean in Hermitian unital Banach ∗-algebras

DOI10.7153/oam-2018-12-61OpenAlexW2580334276MaRDI QIDQ5229233

Sever Silvestru Dragomir

Publication date: 14 August 2019

Published in: Operators and Matrices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.02741

zbMATH Keywords

weighted geometric meanYoung's inequalityweighted harmonic meanoperator modulusarithmetic mean-geometric mean-harmonic mean inequality

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operator inequalities (47A63) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (2)

INEQUALITIES OF JENSEN’S TYPE FOR POSITIVE LINEAR FUNCTIONALS ON HERMITIAN UNITAL BANACH -ALGEBRAS ⋮ Inequalities for weighted geometric mean in Hermitian unital Banach ∗-algebras via a result of Cartwright and Field

Cites Work

• Improved Young and Heinz inequalities for matrices
• Extension of the Furuta inequality and Ando-Hiai log-majorization
• Symmetry of complex involutory Banach algebras. II
• Improved arithmetic-geometric and Heinz means inequalities for Hilbert space operators
• Young-type inequalities and their matrix analogues
• Reverse Young and Heinz inequalities for matrices
• Bounds for the normalised Jensen functional
• THE LÖWNER-HEINZ INEQUALITY IN BANACH *-ALGEBRAS
• The Furuta inequality in Banach $*$-algebras
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