An operator extension of the parallelogram law and related norm inequalities

DOI10.7153/MIA-14-60zbMath1233.47013arXiv1011.6605OpenAlexW2964174404MaRDI QIDQ5200243

Mohammad Sal Moslehian

Publication date: 1 August 2011

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

Full work available at URL: https://arxiv.org/abs/1011.6605

zbMATH Keywords

convex functionnorm inequalityinner product spaceBochner integralparallelogram lawunitarily invariant normSchatten \(p\)-normBohr's inequality

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operator inequalities (47A63) Characterizations of Hilbert spaces (46C15) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items (4)

Norm inequalities related to \(p\)-Schatten class ⋮ Noncommutative Orlicz modular inequalities related to parallelogram law ⋮ Some complementary inequalities to Jensen's operator inequality ⋮ Schatten \(p\)-norm inequalities related to an extended operator parallelogram law

This page was built for publication: An operator extension of the parallelogram law and related norm inequalities