BIRKHOFF ORTHOGONALITY IN CLASSICAL -IDEALS

DOI10.1017/S1446788716000537zbMath1383.46018MaRDI QIDQ5369427

Paweł Wójcik

Publication date: 17 October 2017

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

smoothness\(M\)-idealsBirkhoff-James orthogonalityspaces of compact operators

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Spaces of operators; tensor products; approximation properties (46B28) Isometric theory of Banach spaces (46B04)

Related Items (16)

Characterization of k-smoothness of operators defined between infinite-dimensional spaces ⋮ Approximate Birkhoff-James orthogonality in the space of bounded linear operators ⋮ $k$-smoothness on polyhedral Banach spaces ⋮ Subdifferential set of the joint numerical radius of a tuple of matrices ⋮ From norm derivatives to orthogonalities in Hilbert C*-modules ⋮ Gateaux derivative of \(C^\ast\) norm ⋮ Some remarks on Birkhoff-James orthogonality of linear operators ⋮ Vertices of the unit ball of subspaces in \(\mathcal{L}(H)\) and strong unicity of best approximation in \(\mathcal{L}(l_2^2)\) ⋮ Characterization of \(k\)-smooth operators between Banach spaces ⋮ Orthogonality and smoothness induced by the norm derivatives ⋮ On orthogonality of elementary operators in norm-attainable classes ⋮ Semi-smooth points in space of operators on Hilbert space ⋮ Birkhoff-James orthogonality of operators in semi-Hilbertian spaces and its applications ⋮ Extensions of linear operators from hyperplanes and strong uniqueness of best approximation in \(\mathcal{L}(X, W)\) ⋮ Approximate Birkhoff-James orthogonality and smoothness in the space of bounded linear operators ⋮ Characterization of extreme contractions through k-smoothness of operators

Cites Work

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• Orthogonality to matrix subspaces, and a distance formula
• On Orlicz sequence spaces. III
• Orthogonality in linear metric spaces
• ρ-Orthogonality and its preservation –- revisited
• Extreme Points in Duals of Complex Operator Spaces
• Orthogonality of matrices
• M-ideals of compact operators
• Orthogonality of matrices

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