Approximate Birkhoff-James orthogonality in the space of bounded linear operators

DOI10.1016/j.laa.2017.10.008zbMath1391.46014arXiv1706.09237OpenAlexW2964123772MaRDI QIDQ1675673

Kallol Paul, Debmalya Sain, Arpita Mal

Publication date: 2 November 2017

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

Full work available at URL: https://arxiv.org/abs/1706.09237

zbMATH Keywords

normed spacecompact linear operatorbounded linear operatorapproximate Birkhoff-James orthogonality

Mathematics Subject Classification ID

Spaces of operators; tensor products; approximation properties (46B28) Isometric theory of Banach spaces (46B04) Linear spaces of operators (47L05)

Related Items (15)

Approximate Birkhoff-James Orthogonality in Normed Linear Spaces and Related Topics ⋮ Minkowski Geometry—Some Concepts and Recent Developments ⋮ Orthogonality of bounded linear operators on complex Banach spaces ⋮ Approximate Birkhoff orthogonalities in normed spaces ⋮ Approximate smoothness in normed linear spaces ⋮ Convex functions and approximate Birkhoff-James orthogonality ⋮ Birkhoff–James Orthogonality Reversing Property and Its Stability ⋮ Some remarks on Birkhoff-James orthogonality of linear operators ⋮ Approximate orthogonality in normed spaces and its applications. II ⋮ Local approximate symmetry of Birkhoff-James orthogonality in normed linear spaces ⋮ Norm derivatives and geometry of bilinear operators ⋮ On orthogonality of elementary operators in norm-attainable classes ⋮ Distance formulae and best approximation in the space of compact operators ⋮ Approximate ω-orthogonality and ω-derivation ⋮ Approximate Birkhoff-James orthogonality and smoothness in the space of bounded linear operators

Cites Work

• Birkhoff-James orthogonality of linear operators on finite dimensional Banach spaces
• Birkhoff-James orthogonality and smoothness of bounded linear operators
• Orthogonality of matrices and some distance problems
• Operator norm attainment and Birkhoff-James orthogonality
• Approximate orthogonality in normed spaces and its applications
• Operator norm attainment and inner product spaces
• Orthogonality in linear metric spaces
• BIRKHOFF ORTHOGONALITY IN CLASSICAL -IDEALS
• Orthogonality and Linear Functionals in Normed Linear Spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Approximate Birkhoff-James orthogonality in the space of bounded linear operators