The Dunkl-Williams equality in pre-Hilbert \(C^{*}\)-modules

DOI10.1016/j.laa.2007.03.005zbMath1133.26022OpenAlexW2008158575MaRDI QIDQ2370778

Rajna Rajić, Josip E. Pečarić

Publication date: 29 June 2007

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

Full work available at URL: https://doi.org/10.1016/j.laa.2007.03.005

zbMATH Keywords

triangle inequalityDunkl-Williams inequalitypre-Hilbert \(C^*\)-module

Mathematics Subject Classification ID

(C^*)-modules (46L08) Inequalities for sums, series and integrals (26D15)

Related Items (6)

Considerations about the several inequalities in an inner product space ⋮ The Birkhoff-James orthogonality in Hilbert \(C^{\ast }\)-modules ⋮ Norm equalities in pre-Hilbert \(C^{*}\)-modules ⋮ DUNKL–WILLIAMS INEQUALITIES FOR INTEGRABLE FUNCTIONS IN BANACH SPACE ⋮ Characterization of equality in a generalized Dunkl-Williams inequality ⋮ On the Cauchy-Schwarz inequality and several inequalities in an inner product space

Cites Work

• On some norm equalities in pre-Hilbert \(C^{\ast}\)-modules
• The Daugavet equation in uniformly convex Banach spaces
• Inner derivations and norm equality
• The Dunkl-Williams inequality in an inner product space
• Sharp triangle inequality and its reverse in Banach spaces
• The unilateral shift and a norm equality for bounded linear operators
• Simple Norm Inequalities
• A Simple Norm Inequality
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