Smooth points in some spaces of bounded operators

DOI10.1007/BF01200332zbMath0808.46019MaRDI QIDQ1194226

Wend Werner

Publication date: 27 September 1992

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

\(M\)-idealcompact approximation propertydirect sums of finite-dimensional Banach spacessmooth points of certain spaces of bounded operators

Mathematics Subject Classification ID

Fréchet and Gateaux differentiability in optimization (49J50) Geometry and structure of normed linear spaces (46B20) Spaces of operators; tensor products; approximation properties (46B28) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Isometric theory of Banach spaces (46B04) Derivatives of functions in infinite-dimensional spaces (46G05) Linear spaces of operators (47L05)

Related Items (9)

On a new geometric property for Banach spaces ⋮ Very smooth points of spaces of operators ⋮ Multismoothness in Banach spaces ⋮ A complete characterization of smoothness in the space of bounded linear operators ⋮ Birkhoff-James orthogonality and applications: a survey ⋮ Numerical radius and a notion of smoothness in the space of bounded linear operators ⋮ \(k\)-smooth points in some Banach spaces ⋮ Birkhoff-James orthogonality and smoothness of bounded linear operators ⋮ Fredholm equation in smooth Banach spaces and its applications

Cites Work

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• Norm attaining operators

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