Angle preserving mappings

DOI10.4171/ZAA/1551zbMath1338.46064arXiv1504.06293MaRDI QIDQ891805

Ali Zamani, Michael Frank, Mohammad Sal Moslehian

Publication date: 17 November 2015

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.06293

zbMATH Keywords

angleinner product spaceorthogonality preserving mappinginner product \(C^*\)-module

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Geometry and structure of normed linear spaces (46B20) (C^*)-modules (46L08)

Related Items (10)

Orthogonality preserving property for pairs of operators on Hilbert \(C^*\)-modules ⋮ On mappings which approximately preserve angles ⋮ \(\mathcal{A}\)-valued norm parallelism in Hilbert \(\mathcal{A}\)-modules ⋮ Orthogonality Hilbert 𝒜-modules and operators preserving multi-𝒜-linearity ⋮ The operator-valued parallelism ⋮ On Exact and Approximate Orthogonalities Based on Norm Derivatives ⋮ APPROXIMATELY ANGLE PRESERVING MAPPINGS ⋮ Approximately orthogonality preserving maps in Krein spaces ⋮ Another characterization of orthogonality in Hilbert C^*-modules ⋮ Characterization of real inner product spaces by Hermite-Hadamard type orthogonalities

Cites Work

• The Birkhoff-James orthogonality in Hilbert \(C^{\ast }\)-modules
• Stable isomorphism and strong Morita equivalence of \(C^*\)-algebras
• Characterization of Birkhoff-James orthogonality
• Advances in operator Cauchy-Schwarz inequalities and their reverses
• The general Stone-Weierstrass problem
• A Gelfand representation theory for \(C^ *\)-algebras
• Orthogonality in linear metric spaces
• On maps that preserve orthogonality in normed spaces

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