Self-induced compactness in Banach spaces

DOI10.1017/S0308210500022770zbMath0851.46011arXivmath/9403210OpenAlexW1998167792WikidataQ56689844 ScholiaQ56689844MaRDI QIDQ4879064

Peter G. Casazza, Hans Jarchow

Publication date: 21 May 1996

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9403210

zbMATH Keywords

Banach spacecompact setbounded compact approximation propertymetric compact approximation propertyclosed unit rangecompact or even approximable operator

Mathematics Subject Classification ID

Spaces of operators; tensor products; approximation properties (46B28) Compactness in topological linear spaces; angelic spaces, etc. (46A50)

Related Items (11)

Ideals of operators and the metric approximation property ⋮ Metric approximation properties and trace mappings ⋮ Lifting bounded approximation properties from Banach spaces to their dual spaces ⋮ Compact adjoint operators and approximation properties ⋮ Duality of the weak essential norm ⋮ Geometry of spaces of compact operators ⋮ Ideals of compact operators ⋮ Dual problems for weak and quasi approximation properties ⋮ Geometry of Banach spaces having shrinking approximations of the identity ⋮ THE QUOTIENT ALGEBRA OF COMPACT-BY-APPROXIMABLE OPERATORS ON BANACH SPACES FAILING THE APPROXIMATION PROPERTY ⋮ Isometric factorization of weakly compact operators and the approximation property

Cites Work

• Unnamed Item
• Factorization in group algebras
• Counterexamples to a conjecture of Grothendieck
• Subspaces without the approximation property
• On the compact non-nuclear operator problem
• Left approximate identities in algebras of compact operators on Banach spaces
• Homological characterizations of the approximation property for Banach spaces
• Approximate Identities in Banach Algebras of Compact Operators
• Continuity of homomorphisms and derivations from algebras of approximable and nuclear operators
• On the Jackknife Statistic, Its Extensions, and Its Relation to $e_n$- Transformations

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