Multiplicative inequalities for weighted geometric mean in Hermitian unital Banach \(\ast\)-algebras

DOI10.1007/s13398-017-0430-7zbMath1423.47005OpenAlexW2747042945MaRDI QIDQ1800633

Sever Silvestru Dragomir

Publication date: 24 October 2018

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-017-0430-7

zbMATH Keywords

weighted geometric meanYoung's inequalityarithmetic mean-geometric mean inequalityoperator modulusHermitian unital Banach \(\ast\)-algebra

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)

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