The differentiability of the norm in spaces of operators

DOI10.1007/BF01075896zbMath0325.46051OpenAlexW2056900265MaRDI QIDQ1225298

Stefan Heinrich

Publication date: 1976

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01075896

Mathematics Subject Classification ID

Isomorphic theory (including renorming) of Banach spaces (46B03) Derivatives of functions in infinite-dimensional spaces (46G05) Linear spaces of operators (47L05) Tensor products in functional analysis (46M05)

Related Items (17)

Exposed and denting points in duals of operator spaces ⋮ Unnamed Item ⋮ Very smooth points of spaces of operators ⋮ The weak differentiability of norm and a generalized Bhatia-Šemrl theorem ⋮ A numerical range approach to Birkhoff-James orthogonality with applications ⋮ Approximate symmetry of Birkhoff orthogonality ⋮ Multismoothness in Banach spaces ⋮ A complete characterization of smoothness in the space of bounded linear operators ⋮ Gateaux derivative of \(C^\ast\) norm ⋮ 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 ⋮ Characterization of \(k\)-smooth operators between Banach spaces ⋮ Operators on continuous function spaces and convergence in the spaces of operators ⋮ Birkhoff-James orthogonality and smoothness of bounded linear operators ⋮ Operators Birkhoff–James Orthogonal to Spaces of Operators ⋮ Residuality in the set of norm attaining operators between Banach spaces

Cites Work

• Unnamed Item
• On the metric geometry of ideals of operators on Hilbert space

This page was built for publication: The differentiability of the norm in spaces of operators