On best approximations to compact operators
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Publication:5012105
DOI10.1090/proc/15494zbMath1483.46015arXiv2104.13975OpenAlexW3129368020WikidataQ114094203 ScholiaQ114094203MaRDI QIDQ5012105
Publication date: 31 August 2021
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.13975
Geometry and structure of normed linear spaces (46B20) Spaces of operators; tensor products; approximation properties (46B28)
Related Items (7)
On best approximations in Banach spaces from the perspective of orthogonality ⋮ On best coapproximations in subspaces of diagonal matrices ⋮ On the best coapproximation problem in ℓ1n, ⋮ A numerical range approach to Birkhoff-James orthogonality with applications ⋮ Numerical radius and a notion of smoothness in the space of bounded linear operators ⋮ Distance formulae and best approximation in the space of compact operators ⋮ An Approximation Problem in the Space of Bounded Operators
Cites Work
- Birkhoff-James orthogonality of linear operators on finite dimensional Banach spaces
- Characterization of best approximations in normed linear spaces of matrices by elements of finite-dimensional linear subspaces
- Orthogonality of matrices and some distance problems
- On the norm attainment set of a bounded linear operator and semi-inner-products in normed spaces
- Some remarks on Birkhoff-James orthogonality of linear operators
- Operator version of the best approximation problem in Hilbert \(C^\ast\)-modules
- Extensions of linear operators from hyperplanes and strong uniqueness of best approximation in \(\mathcal{L}(X, W)\)
- Operator norm attainment and inner product spaces
- Orthogonality to matrix subspaces, and a distance formula
- Reflexivity and the sup of linear functionals
- On strong orthogonality and strictly convex normed linear spaces
- Semi-Inner-Product Spaces
- A complete characterization of Birkhoff-James orthogonality in infinite dimensional normed space
- Classes of Semi-Inner-Product Spaces
- Best Approximation of Linear Operators in Hilbert Spaces
- Orthogonality and Linear Functionals in Normed Linear Spaces
- Inner products in normed linear spaces
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