An operator equality involving a continuous field of operators and its norm inequalities

DOI10.1016/j.laa.2008.06.010zbMath1156.47021arXiv0806.2633OpenAlexW2952961760MaRDI QIDQ947680

Fuzhen Zhang, Mohammad Sal Moslehian

Publication date: 6 October 2008

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.2633

zbMATH Keywords

Hilbert spacenorm inequalitybounded linear operatorBochner integralSchatten \(p\)-normcontinuous field of operators\(Q\)-normcharacterization of inner product space

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Matrix equations and identities (15A24) Characterizations of Hilbert spaces (46C15) Equations involving linear operators, with operator unknowns (47A62)

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A characterization of inner product spaces concerning an Euler-Lagrange identity ⋮ Functional equations related to inner product spaces

Cites Work

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• Characterizations of inner product spaces
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