Norm equalities in pre-Hilbert \(C^{*}\)-modules

DOI10.1016/j.laa.2011.06.015zbMath1231.47008OpenAlexW2004004656MaRDI QIDQ648920

Dan Popovici

Publication date: 29 November 2011

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

Full work available at URL: https://doi.org/10.1016/j.laa.2011.06.015

zbMATH Keywords

triangle inequalityCauchy-Schwarz inequalitypre-Hilbert \(C^*\)-modulePythagoras' equality

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) (C^*)-modules (46L08) General theory of (C^*)-algebras (46L05)

Related Items (4)

The Birkhoff-James orthogonality in Hilbert \(C^{\ast }\)-modules ⋮ Operator equalities and Characterizations of Orthogonality in Pre-Hilbert C*-Modules ⋮ Parallelism in Hilbert \(K(\mathcal{H})\)-modules ⋮ Numerical radius in Hilbert C✻-modules

Cites Work

• On some norm equalities in pre-Hilbert \(C^{\ast}\)-modules
• On the \(C^*\)-valued triangle equality and inequality in Hilbert \(C^*\)-modules
• The Dunkl-Williams equality in pre-Hilbert \(C^{*}\)-modules
• Characterization of the norm triangle equality in pre-Hilbert C✻-modules and applications
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