Reverse Cauchy--Schwarz inequalities for positive C^✻-valued sesquilinear forms

DOI10.7153/mia-12-53zbMath1188.46037arXiv0905.4065OpenAlexW2962770356MaRDI QIDQ3405667

Lars-Erik Persson, Mohammad Sal Moslehian

Publication date: 11 February 2010

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.4065

zbMATH Keywords

operator inequalitynorm inequalitypositive linear functionalreverse Cauchy-Schwarz inequalitypositive element\(C^\ast \)-algebraHilbert \(C^\ast \)-module\(C^\ast \)-valued sesquilinear form

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operator inequalities (47A63) (C^*)-modules (46L08) General theory of (C^*)-algebras (46L05) Inequalities for sums, series and integrals (26D15)

Related Items (9)

Cauchy and Pólya-Szegö type inequalities involving two linear isotonic functionals ⋮ Reverse Schwarz inequalities and some consequences in inner product spaces ⋮ Non-commutative Callebaut inequality ⋮ Cauchy-Schwarz inequality in semi-inner product \(C^{\ast}\)-modules via polar decomposition ⋮ A treatment of the Cauchy-Schwarz inequality in \(C^{*}\)-modules ⋮ On reverse Schwarz, Bessel, Grüss and Hadamard inequalities in inner product spaces ⋮ Probing uncertainty relations in non-commutative space ⋮ Equality conditions of reverse Schwarz and Grüss inequalities in inner productspaces ⋮ Buzano's inequality in algebraic probability spaces

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