Gâteaux derivative of the norm in \(\mathcal{K}(X;Y)\)

DOI10.1215/20088752-3661179zbMath1366.46010OpenAlexW2527696800MaRDI QIDQ728036

Paweł Wójcik

Publication date: 21 December 2016

Published in: Annals of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.afa/1475685114

zbMATH Keywords

extreme pointdual spaceadjoint operatorGâteaux derivativespace of compact operators

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Spaces of operators; tensor products; approximation properties (46B28) Derivatives of functions in infinite-dimensional spaces (46G05) Linear spaces of operators (47L05)

Related Items (7)

From norm derivatives to orthogonalities in Hilbert C*-modules ⋮ Birkhoff-James orthogonality and applications: a survey ⋮ Vertices of the unit ball of subspaces in \(\mathcal{L}(H)\) and strong unicity of best approximation in \(\mathcal{L}(l_2^2)\) ⋮ Best approximation by diagonal operators in Schatten ideals ⋮ 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 \(\mathcal{L}(X, W)\)

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