Reverse Cauchy-Schwarz type inequalities in pre-inner product \(C^{*}\)-modules

DOI10.14492/hokmj/1319595863zbMath1267.46074OpenAlexW2138406020MaRDI QIDQ643705

Yuki Seo, Mohammad Sal Moslehian, Masatoshi Fujii, Jun Ichi Fujii, Josip E. Pečarić

Publication date: 2 November 2011

Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.hokmj/1319595863

zbMATH Keywords

\(C^*\)-algebraoperator inequalityoperator geometric meanCassels' inequalitypre-inner product \(C^*\)-modulereverse Cauchy-Schwarz inequality

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 (4)

Refinements of the Cauchy-Schwarz inequality in pre-Hilbert \(C^\ast\)-modules and their applications ⋮ Extensions of Euclidean operator radius inequalities ⋮ On reverse Schwarz, Bessel, Grüss and Hadamard inequalities in inner product spaces ⋮ Buzano's inequality in algebraic probability spaces

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