LINEAR ORTHOGONALITY PRESERVERS OF HILBERT BUNDLES
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Publication:3008154
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
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
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- 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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