Vertices of the unit ball of subspaces in \(\mathcal{L}(H)\) and strong unicity of best approximation in \(\mathcal{L}(l_2^2)\)
From MaRDI portal
Publication:2244882
DOI10.1016/j.laa.2021.09.010zbMath1487.46020OpenAlexW3201647052MaRDI QIDQ2244882
Publication date: 12 November 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.2021.09.010
Geometry and structure of normed linear spaces (46B20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Linear operator approximation theory (47A58) Approximation by operators (in particular, by integral operators) (41A35) Uniqueness of best approximation (41A52)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The Birkhoff-James orthogonality in Hilbert \(C^{\ast }\)-modules
- Codimension-one minimal projections onto Haar subspaces
- Gâteaux derivative of the norm in \(\mathcal{K}(X;Y)\)
- Geometrical properties of the unit sphere of Banach algebras
- Extreme contractions on real Hilbert spaces
- Minimal projections in Banach spaces. Problems of existence and uniqueness and their application
- Orthogonality of matrices and some distance problems
- Strongly unique minimal projections on hyperplanes
- Codimension-one minimal extensions onto Haar subspaces
- Best approximation in finite dimensional subspaces of \({\mathcal L}(W, V)\)
- Extensions of linear operators from hyperplanes and strong uniqueness of best approximation in \(\mathcal{L}(X, W)\)
- Orthogonality of compact operators
- Orthogonality to matrix subspaces, and a distance formula
- Orthogonality in linear metric spaces
- Isometries of operator algebras
- $k$-smoothness: an answer to an open problem
- Generalized Daugavet equations, affine operators and unique best approximation
- BIRKHOFF ORTHOGONALITY IN CLASSICAL -IDEALS
- Orthogonality and Linear Functionals in Normed Linear Spaces
- Orthogonality in normed linear spaces
