Orthogonality of bounded linear operators

DOI10.1016/j.laa.2016.03.009zbMath1350.46014OpenAlexW2302113013MaRDI QIDQ272339

Puja Ghosh, Kallol Paul, Debmalya Sain

Publication date: 20 April 2016

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2016.03.009

zbMATH Keywords

bounded linear operatorstrictly convex spaceBirkhoff-James orthogonality

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20)

Related Items (15)

Birkhoff-James orthogonality of linear operators on finite dimensional Banach spaces ⋮ A remark on orthogonality and symmetry of operators in \(\mathcal{B}(\mathcal{H})\) ⋮ Study on Birkhoff orthogonality and symmetry of matrix operators ⋮ On a set of norm attaining operators and the strong Birkhoff-James orthogonality ⋮ Symmetry of Birkhoff-James Orthogonality of Bounded Linear Operators ⋮ Symmetry of Birkhoff-James orthogonality of operators defined between infinite dimensional Banach spaces ⋮ Angular right symmetricity of bounded linear operators on Hilbert spaces ⋮ Operators preserving mutual strong Birkhoff-James orthogonality on \(\mathcal{B}(H)\) ⋮ Symmetrized Birkhoff-James orthogonality in arbitrary normed spaces ⋮ On approximate orthogonality and symmetry of operators in semi-Hilbertian structure ⋮ Norm attainment set and symmetricity of operators on \(\ell_p^2\) ⋮ Orthogonality in Generalized Minkowski Spaces ⋮ Symmetric properties of orthogonality of linear operators on (R^n, ||.||_1) ⋮ On symmetry of strong Birkhoff orthogonality in \(B(\mathcal{H},\mathcal{K})\) and \(K(\mathcal{H},\mathcal{K})\) ⋮ Characterization of symmetric points in lpn-spaces

Cites Work

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• Characterization of inner product spaces
• Operator norm attainment and Birkhoff-James orthogonality
• Operator norm attainment and inner product spaces
• On operators preserving James' orthogonality
• On strong orthogonality and strictly convex normed linear spaces
• Strictly convex space : Strong orthogonality and Conjugate diameters
• Inner products in normed linear spaces
• Orthogonality of matrices

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