Mappings preserving approximate orthogonality in Hilbert $C^*$-modules

DOI10.7146/math.scand.a-102945zbMath1398.46045arXiv1611.08380OpenAlexW2963393181MaRDI QIDQ4640272

Ali Zamani, Mohammad Sal Moslehian

Publication date: 17 May 2018

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.08380

zbMATH Keywords

Hilbert \(C^*\)-modulesapproximate orthogonality preserving mappings

Mathematics Subject Classification ID

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

Related Items (12)

Orthogonality preserving property for pairs of operators on Hilbert \(C^*\)-modules ⋮ Orthogonality Hilbert 𝒜-modules and operators preserving multi-𝒜-linearity ⋮ Approximately orthogonality preserving mappings on Hilbert \(C_{0}(Z)\)-modules ⋮ Characterizations of norm-parallelism in spaces of continuous functions ⋮ Power-norms based on Hilbert \(C^\ast\)-modules ⋮ Birkhoff–James Orthogonality Reversing Property and Its Stability ⋮ On Exact and Approximate Orthogonalities Based on Norm Derivatives ⋮ Maps preserving the \(c\)-numerical radius of products for operators in \(\mathfrak{B}(\mathcal{H})\) ⋮ Singer-type orthogonalities ⋮ Orthogonally \(a\)-Jensen mappings on \(C^*\)-modules ⋮ Approximately orthogonality preserving maps in Krein spaces ⋮ Complex symmetric operators and isotropic vectors on Banach spaces

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