On the convexity of functions

DOI10.2298/FIL1912773AzbMath1502.47021OpenAlexW2994356233MaRDI QIDQ5864485

Ata abu-As'Ad, Omar Hirzallah

Publication date: 7 June 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1912773a

zbMATH Keywords

convex functioncompact operatorpositive operatorsingular valueunitarily invariant normHilbert-Schmidt normSchatten $p$-norm

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operator inequalities (47A63) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Convexity of real functions in one variable, generalizations (26A51)

Related Items

Some norm inequalities involving convex functions of operators

Cites Work

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• Inequalities between \(\|f(A + B)\|\) and \(\|f(A) + f(B)\|\)
• Some inequalities for commutators and an application to spectral variation
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• Analytic Inequalities