A numerical range approach to Birkhoff-James orthogonality with applications
DOI10.1007/s43037-024-00333-1arXiv2306.02638OpenAlexW4393055882MaRDI QIDQ6204597
Javier Merí, Alicia Quero, Debmalya Sain, Saikat Roy, Miguel Martín
Publication date: 28 March 2024
Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2306.02638
numerical rangesmoothnessbounded linear operatorsBirkhoff-James orthogonalitynumerical indexBhatia-Šemrl resultsspear vectors and operators
Spaces of vector- and operator-valued functions (46E40) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Geometry and structure of normed linear spaces (46B20) Classical Banach spaces in the general theory (46B25) Numerical range, numerical radius (47A12) Spaces of operators; tensor products; approximation properties (46B28) Isometric theory of Banach spaces (46B04) Banach spaces of continuous, differentiable or analytic functions (46E15)
Cites Work
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- Birkhoff-James orthogonality of linear operators on finite dimensional Banach spaces
- Birkhoff-James orthogonality and smoothness of bounded linear operators
- Geometrical properties of the unit sphere of Banach algebras
- An approach to numerical ranges without Banach algebra theory
- Extreme points in duals of operator spaces
- The differentiability of the norm in spaces of operators
- Orthogonality of matrices and some distance problems
- Orthogonality of bounded linear operators on complex Banach spaces
- Spear operators between Banach spaces
- A characterisation of the Daugavet property in spaces of Lipschitz functions
- Birkhoff-James orthogonality in complex Banach spaces and Bhatia-Šemrl theorem revisited
- Extreme points of the unit ball of \(\mathcal{L}(X)_w^\ast\) and best approximation in \(\mathcal{L}(X)_w\)
- Orthogonality of bilinear forms and application to matrices
- Numerical radius and a notion of smoothness in the space of bounded linear operators
- Convexity and smoothness of Banach spaces with numerical index one
- On the norm attainment set of a bounded linear operator
- Operator norm attainment and inner product spaces
- The norm of a derivation
- Orthogonality in linear metric spaces
- Numerical index with respect to an operator
- On the Distance to Finite-Dimensional Subspaces in Operator Algebras
- Extreme Points in Duals of Complex Operator Spaces
- A complete characterization of Birkhoff-James orthogonality in infinite dimensional normed space
- Lipschitz Algebras
- Gateaux derivative of 𝐵(𝐻) norm
- Slicely countably determined Banach spaces
- On best approximations to compact operators
- A complete characterization of smoothness in the space of bounded linear operators
- On the numerical index with respect to an operator
- Non-Associative Normed Algebras
- Orthogonality and Linear Functionals in Normed Linear Spaces
- Orthogonality of sesquilinear forms and spaces of operators
- Orthogonality of matrices
- Orthogonality of matrices
- Lectures on Choquet's theorem
- The weak differentiability of norm and a generalized Bhatia-Šemrl theorem
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