The metric approximation property, norm-one projections and intersection properties of balls

DOI10.1007/BF02760953zbMath0814.46016OpenAlexW2005394131MaRDI QIDQ1310426

Åsvald Lima

Publication date: 13 January 1994

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02760953

zbMATH Keywords

Radon-Nikodym propertymetric approximation propertylocally complementedspace of finite rank operators

Mathematics Subject Classification ID

Spaces of operators; tensor products; approximation properties (46B28) Radon-Nikodým, Kre?n-Milman and related properties (46B22)

Related Items (20)

Ideals of operators and the metric approximation property ⋮ On the intrinsic and the spatial numerical range ⋮ Ideals of operators, approximability in the strong operator topology, and the approximation property ⋮ An alternative Daugavet property ⋮ Enriched purity and presentability in Banach spaces ⋮ Intersection properties of balls in Banach spaces ⋮ The asymptotically commuting bounded approximation property of Banach spaces ⋮ Geometry of spaces of compact operators ⋮ Norm-preserving extensions of functionals and denting points of convex sets ⋮ Phelps' uniqueness property for \(K(X,Y)\) in \(L(X,Y)\) ⋮ Ideals of compact operators ⋮ On ideals in Banach spaces ⋮ Quotients of tensor product spaces ⋮ Into isometries of Banach spaces ⋮ Unconditional ideals of finite rank operators ⋮ Uniqueness of norm-preserving extensions of functionals on the space of compact operators ⋮ Uncomplementability of spaces of compact operators in larger spaces of operators ⋮ Relatively weakly open convex combinations of slices and scattered \(\mathrm{C}^*\)-algebras ⋮ Isometric factorization of weakly compact operators and the approximation property ⋮ Local duality for Banach spaces

Cites Work

• \(M\)-ideals in Banach spaces and Banach algebras
• Exposed and denting points in duals of operator spaces
• Duality in spaces of operators and smooth norms on Banach spaces
• Extreme points in duals of operator spaces
• Remarks on Banach spaces of compact operators
• \(M\)-ideals of compact operators
• Structure in real Banach spaces. I and II
• Selections linéaires associees au théorème de Hahn-Banach
• REMARKS ON M-IDEALS OF COMPACT OPERATORS
• Uniqueness of Hahn-Banach extensions and liftings of linear dependences.
• A Characterization of Subspaces X of l p for which K(X) is an M- Ideal in L(X)
• Banach Spaces Which are M-Ideals in their Biduals
• Locally Complemented Subspaces and ℒp-Spaces for 0 < p < 1
• M-structure in tensor products of Banach spaces.
• Denting Points in Tensor Products of Banach Spaces
• Intersection Properties of Balls and Subspaces in Banach Spaces
• Extension of compact operators
• On nonseparable reflexive Banach spaces
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