Orthogonality-preserving, \(C^{*}\)-conformal and conformal module mappings on Hilbert \(C^{*}\)-modules

DOI10.1016/j.jfa.2010.10.009zbMath1213.46051arXiv0907.2983OpenAlexW2963146739MaRDI QIDQ610761

Michael Frank, A. S. Mishchenko, Alexander A. Pavlov

Publication date: 10 December 2010

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.2983

zbMATH Keywords

\(C^*\)-algebraconformal mappingsHilbert \(C^*\)-moduleisometriesorthogonality-preserving mappings

Mathematics Subject Classification ID

(C^*)-modules (46L08) General theory of (C^*)-algebras (46L05) Linear operators on Banach algebras (47B48)

Related Items

Mappings approximately preserving angles ⋮ Orthogonality preserving property for pairs of operators on Hilbert \(C^*\)-modules ⋮ Orthogonality Hilbert 𝒜-modules and operators preserving multi-𝒜-linearity ⋮ Orthogonality preserving pairs of operators on Hilbert C₀(Z)-modules ⋮ Approximately orthogonality preserving mappings on Hilbert \(C_{0}(Z)\)-modules ⋮ On Exact and Approximate Orthogonalities Based on Norm Derivatives ⋮ Operators preserving the strong Birkhoff-James orthogonality on \(\mathbf{B}(H)\) ⋮ Orthogonally \(a\)-Jensen mappings on \(C^*\)-modules ⋮ Linear orthogonality preservers of Hilbert $C^{*}$-modules over $C^{*}$-algebras with real rank zero

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Orthogonality preservers in C\(^*\)-algebras, JB\(^*\)-algebras and JB\(^*\)-triples
• Hilbert \(C^*\) and \(W^*\)-modules and their morphisms
• Self-duality and \(C^*\)-reflexivity of Hilbert \(C^*\)-moduli
• Theory of operator algebras. III
• Remarks on orthogonality preserving mappings in normed spaces and some stability problems
• Approximately orthogonality preserving mappings on \(C^{*}\)-modules
• The general Stone-Weierstrass problem
• A Gelfand representation theory for \(C^ *\)-algebras
• On operators preserving James' orthogonality
• On mappings approximately preserving orthogonality
• LINEAR ORTHOGONALITY PRESERVERS OF HILBERT BUNDLES
• Generalized inverses and polar decomposition of unbounded regular operators on Hilbert $C^*$-modules
• On maps that preserve orthogonality in normed spaces
• Perturbation of the Wigner equation in inner product C*-modules
• Adjointability of densely defined closed operators and the Magajna-Schweizer Theorem
• Operators preserving orthogonality are isometries
• Frames, bases and group representations
• Unitary Operators on Hilbert C^* -Modules
• Inner Product Modules Over B ∗ -Algebras

This page was built for publication: Orthogonality-preserving, \(C^{*}\)-conformal and conformal module mappings on Hilbert \(C^{*}\)-modules