The weak differentiability of norm and a generalized Bhatia-Šemrl theorem
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Publication:6149174
DOI10.1016/j.laa.2023.12.018arXiv2202.12647OpenAlexW4390401675MaRDI QIDQ6149174
Publication date: 5 February 2024
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2202.12647
Birkhoff-James orthogonalityweak differentiabilitynorm attainmentmultilinear mapssemi-inner-productBhatia-Šemrl theorem
Geometry and structure of normed linear spaces (46B20) (Spaces of) multilinear mappings, polynomials (46G25)
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Cites Work
- Unnamed Item
- Birkhoff-James orthogonality of linear operators on finite dimensional Banach spaces
- Birkhoff-James orthogonality and smoothness of bounded linear operators
- The differentiability of the norm in spaces of operators
- Norm derivatives on spaces of operators
- Orthogonality of matrices and some distance problems
- Orthogonality of bounded linear operators on complex Banach spaces
- On the norm attainment set of a bounded linear operator and semi-inner-products in normed spaces
- The Birkhoff-James orthogonality and norm attainment for multilinear maps
- Orthogonality of bilinear forms and application to matrices
- Characterization of Birkhoff-James orthogonality
- Operator norm attainment and Birkhoff-James orthogonality
- A remark on orthogonality and symmetry of operators in \(\mathcal{B}(\mathcal{H})\)
- Operator norm attainment and inner product spaces
- The norm of a derivation
- On the metric geometry of ideals of operators on Hilbert space
- Semi-Inner-Product Spaces
- Smooth, Compact Operators
- A complete characterization of Birkhoff-James orthogonality in infinite dimensional normed space
- Gateaux derivative of 𝐵(𝐻) norm
- Smoothness and norm attainment of bounded bilinear operators between Banach spaces
- A complete characterization of smoothness in the space of bounded linear operators
- Classes of Semi-Inner-Product Spaces
- Shorter Notes: The Toeplitz-Hausdorff Theorem for Linear Operators
- Orthogonality and Linear Functionals in Normed Linear Spaces
- Orthogonality of sesquilinear forms and spaces of operators