Geometry of spaces of compact operators

DOI10.1007/s11512-007-0060-yzbMath1166.46009OpenAlexW2021545047MaRDI QIDQ942042

Åsvald Lima, Vegard Lima

Publication date: 3 September 2008

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11512-007-0060-y

zbMATH Keywords

dual spaceapproximation propertycompact approximation propertyweak metric approximation propertycompactly locally reflexive

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Spaces of operators; tensor products; approximation properties (46B28) Isometric theory of Banach spaces (46B04) Linear spaces of operators (47L05)

Related Items (5)

The convex approximation property of Banach spaces ⋮ Approximation properties defined by spaces of operators and approximability in operator topologies ⋮ Unconditional ideals of finite rank operators ⋮ On lifting the approximation property from a Banach space to its dual ⋮ Local duality for Banach spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(M\)-ideals in Banach spaces and Banach algebras
• Duality in spaces of operators and smooth norms on Banach spaces
• B(H) does not have the approximation property
• Factoring weakly compact operators
• The metric approximation property, norm-one projections and intersection properties of balls
• Isometric factorization of weakly compact operators and the approximation property
• Ideals of operators and the metric approximation property
• Ideals of operators, approximability in the strong operator topology, and the approximation property
• The weak metric approximation property and ideals of operators
• Selections linéaires associees au théorème de Hahn-Banach
• The weak metric approximation property
• Principle of local reflexivity revisited
• Locally Complemented Subspaces and ℒp-Spaces for 0 < p < 1
• Linear Hahn–Banach extension operators
• Ultraproducts in Banach space theory.
• Approximation properties for dual spaces
• Hahn-Banach extension operators and spaces of operators
• Ideals of compact operators
• OPERATORS THAT ARE NUCLEAR WHENEVER THEY ARE NUCLEAR FOR A LARGER RANGE SPACE
• On the compact approximation property
• Self-induced compactness in Banach spaces
• Metric approximation properties and trace mappings
• Spaces of compact operators and their dual spaces
• Separable lifting property and extensions of local reflexivity

This page was built for publication: Geometry of spaces of compact operators