Ideals of operators, approximability in the strong operator topology, and the approximation property

DOI10.1307/mmj/1091112074zbMath1069.46013OpenAlexW2006374080MaRDI QIDQ1884403

Eh. F. Oya, Åsvald Lima

Publication date: 1 November 2004

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1091112074

zbMATH Keywords

weakly compact operatorsapproximation property\(M\)-idealideals of operators

Mathematics Subject Classification ID

Spaces of operators; tensor products; approximation properties (46B28) Isometric theory of Banach spaces (46B04) Linear spaces of operators (47L05)

Related Items (8)

The weak metric approximation property and ideals of operators ⋮ 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 ⋮ The strong approximation property ⋮ 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

• \(M\)-ideals in Banach spaces and Banach algebras
• Duality in spaces of operators and smooth norms on Banach spaces
• The metric approximation property, norm-one projections and intersection properties of balls
• The approximation property in terms of the approximability of weak\(^*\)-weak continuous operators.
• Isometric factorization of weakly compact operators and the approximation property
• On James's paper 'Separable conjugate spaces'
• M-structure in tensor products of Banach spaces.
• Géométrie des espaces de Banach ayant des approximations de l'identité contractantes
• Hahn-Banach extension operators and spaces of operators
• Ideals of compact operators
• Geometry of Banach spaces having shrinking approximations of the identity
• Extremal structure in operator spaces
• Produits tensoriels topologiques et espaces nucléaires
• Spaces of compact operators and their dual spaces
• Separable lifting property and extensions of local reflexivity
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