LINEAR ORTHOGONALITY PRESERVERS OF HILBERT BUNDLES

DOI10.1017/S1446788710001515zbMath1242.46068arXiv1005.4502MaRDI QIDQ3008154

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Publication date: 14 June 2011

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.4502

zbMATH Keywords

module homomorphismsHilbert \(C^*\)-modulesHilbert bundlesorthogonality preserving maps

Mathematics Subject Classification ID

Automatic continuity (46H40) (C^*)-modules (46L08) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (7)

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 ⋮ Orthogonality-preserving, \(C^{*}\)-conformal and conformal module mappings on Hilbert \(C^{*}\)-modules ⋮ On Exact and Approximate Orthogonalities Based on Norm Derivatives ⋮ Operators preserving the strong Birkhoff-James orthogonality on \(\mathbf{B}(H)\) ⋮ Linear orthogonality preservers of Hilbert $C^{*}$-modules over $C^{*}$-algebras with real rank zero

Cites Work

• Zero product preserving maps on \(C^1[0,1\)]
• A representation theorem for isometries of C(X,E)
• Linear mappings approximately preserving orthogonality
• Linear biseparating maps between spaces of vector-valued differentiable functions and automatic continuity
• Approximately orthogonality preserving mappings on \(C^{*}\)-modules
• The space of bounded maps into a Banach space
• Disjointness preserving and local operators on algebras of differentiable functions
• Automatic Continuity of Separating Linear Isomorphisms
• Réctification à l'article "Une caractérisation abstraite des opérateurs différentiels"
• On maps that preserve orthogonality in normed spaces
• Biseparating linear maps between continuous vector-valued function spaces
• On the Banach–Stone problem
• Automatic continuity of biseparating maps

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