Hahn-Banach extension operators and spaces of operators

DOI10.1090/S0002-9939-02-06615-7zbMath1006.46004OpenAlexW1490655559MaRDI QIDQ4547037

Åsvald Lima, Eh. F. Oya

Publication date: 20 August 2002

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-02-06615-7

zbMATH Keywords

Radon-Nikodým propertyoperator idealsspace of operatorsHahn-Banach extension operator

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Spaces of operators; tensor products; approximation properties (46B28) Radon-Nikodým, Kre?n-Milman and related properties (46B22) Linear spaces of operators (47L05) Operator ideals (47L20)

Related Items (9)

Ideals of operators and the metric approximation property ⋮ Ideals of operators, approximability in the strong operator topology, and the approximation property ⋮ The approximation property in terms of the approximability of weak\(^*\)-weak continuous operators. ⋮ Geometry of spaces of compact operators ⋮ Norm-preserving extensions of functionals and denting points of convex sets ⋮ Ideals of compact operators ⋮ Approximation properties defined by spaces of operators and approximability in operator topologies ⋮ Unconditional ideals of finite rank operators ⋮ Inner and outer inequalities with applications to approximation properties

Cites Work

• Geometry of Banach spaces. Selected topics
• \(L^p\)-structure in real Banach spaces
• Uniformly non-square Banach spaces
• $L^{p}$-Struktur in Banachräumen
• Almost-L^p-projections and L^p isomorphisms
• Ideals of compact operators
• Uniformly Convex Spaces
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