Orthogonality of bilinear forms and application to matrices

DOI10.1016/j.laa.2020.12.032zbMath1470.46035OpenAlexW3119835226MaRDI QIDQ2229511

Saikat Roy, Tanusri Senapati, Debmalya Sain

Publication date: 17 February 2021

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

Full work available at URL: https://doi.org/10.1016/j.laa.2020.12.032

zbMATH Keywords

bilinear formsBirkhoff-James orthogonalityBhatia-Šemrl theorem

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Geometry and structure of normed linear spaces (46B20) Quadratic and bilinear forms, inner products (15A63)

Related Items (7)

On best approximations in Banach spaces from the perspective of orthogonality ⋮ Subdifferential set of the joint numerical radius of a tuple of matrices ⋮ Study on Birkhoff orthogonality and symmetry of matrix operators ⋮ Birkhoff-James orthogonality in certain tensor products of Banach spaces ⋮ The weak differentiability of norm and a generalized Bhatia-Šemrl theorem ⋮ Approximate orthogonality in complex normed spaces: a directional approach ⋮ A numerical range approach to Birkhoff-James orthogonality with applications

Cites Work

• Birkhoff-James orthogonality of linear operators on finite dimensional Banach spaces
• Orthogonality of matrices and some distance problems
• Characterization of Birkhoff-James orthogonality
• A remark on orthogonality and symmetry of operators in \(\mathcal{B}(\mathcal{H})\)
• Operator norm attainment and inner product spaces
• Orthogonality in linear metric spaces
• Gateaux derivative of 𝐵(𝐻) norm
• Orthogonality and Linear Functionals in Normed Linear Spaces
• Inner products in normed linear spaces

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