Symmetry of Birkhoff-James orthogonality of operators defined between infinite dimensional Banach spaces

DOI10.1016/j.laa.2018.10.022OpenAlexW2883227418MaRDI QIDQ1713299

Arpita Mal, Kallol Paul, Paweł Wójcik

Publication date: 24 January 2019

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

Full work available at URL: https://arxiv.org/abs/1807.11166

zbMATH Keywords

symmetric operatorsinfinite dimensional Banach spaceBirkhoff-James orthogonality

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Linear spaces of operators (47L05)

Related Items (9)

Best approximations, distance formulas and orthogonality in C*-algebras ⋮ Birkhoff-James orthogonality and its local symmetry in some sequence spaces ⋮ On symmetric points with respect to the numerical radius norm ⋮ Modular Birkhoff-James orthogonality in \(B(\mathbb{X,Y})\) and \(K(\mathbb{X,Y})\) ⋮ Birkhoff-James orthogonality and applications: a survey ⋮ Angular right symmetricity of bounded linear operators on Hilbert spaces ⋮ Operators preserving mutual strong Birkhoff-James orthogonality on \(\mathcal{B}(H)\) ⋮ 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

• Orthogonality of bounded linear operators
• Birkhoff-James orthogonality of linear operators on finite dimensional Banach spaces
• Birkhoff-James orthogonality and smoothness of bounded linear operators
• On the norm attainment set of a bounded linear operator
• A remark on orthogonality and symmetry of operators in \(\mathcal{B}(\mathcal{H})\)
• Orthogonality in linear metric spaces
• On symmetry of Birkhoff-James orthogonality of linear operators on finite-dimensional real Banach spaces
• A complete characterization of Birkhoff-James orthogonality in infinite dimensional normed space
• On two extremum problems related to the norm of a bounded linear operator
• Orthogonality and Linear Functionals in Normed Linear Spaces
• Inner products in normed linear spaces

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