Ideal topologies and corresponding approximation properties

DOI10.5186/aasfm.2016.4117zbMath1358.46016OpenAlexW2662972025MaRDI QIDQ2790821

Sonia Berrios, Geraldo Botelho

Publication date: 8 March 2016

Published in: Annales Academiae Scientiarum Fennicae Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5186/aasfm.2016.4117

zbMATH Keywords

Banach spaceapproximation propertyoperator idealmultilinear mappingprojective tensor product

Mathematics Subject Classification ID

Spaces of operators; tensor products; approximation properties (46B28) (Spaces of) multilinear mappings, polynomials (46G25) Operator ideals (47L20) Ideals of polynomials and of multilinear mappings in operator theory (47L22)

Related Items (2)

The Compact Approximation Property for Weighted Spaces of Holomorphic Mappings ⋮ Ideals of polynomials between Banach spaces revisited

Cites Work

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• Non-approximable compact operators
• The convex approximation property of Banach spaces
• Weak compactness in projective tensor products of Banach spaces
• Some approximation properties of Banach spaces and Banach lattices
• Approximation properties defined by spaces of operators and approximability in operator topologies
• Weak and quasi approximation properties in Banach spaces
• Lifting bounded approximation properties from Banach spaces to their dual spaces
• On composition ideals of multilinear mappings and homogeneous polynomials
• The \(p\)-approximation property in terms of density of finite rank operators
• Factoring weakly compact operators
• Compact holomorphic mappings on Banach spaces and the approximation property
• Isometric factorization of weakly compact operators and the approximation property
• Hereditary approximation property
• Ideals of homogeneous polynomials
• A polynomial Hutton theorem with applications
• The Banach ideal of \(\mathcal A\)-compact operators and related approximation properties
• The asymptotically commuting bounded approximation property of Banach spaces
• The strong approximation property
• A note on weakly compact subsets in the projective tensor product of Banach spaces
• The weak metric approximation property
• Compact operators whose adjoints factor through subspaces of l_p
• Compact operators which are defined byl_p-spaces
• Banach spaces of homogeneous polynomials without the approximation property
• On bounded approximation properties of Banach spaces
• Approximation properties of orderp and the existence of non-p-nuclear operators withp-nuclear second adjoints
• A unified approach to the strong approximation property and the weak bounded approximation property of Banach spaces
• On distinguished polynomials and their projections
• Approximation properties determined by operator ideals and approximability of homogeneous polynomials and holomorphic functions
• Bounded approximation properties via integral and nuclear operators
• Right and Left Weak Approximation Properties in Banach Spaces
• On the Approximation Properties for the SpaceH∞
• Generating Systems of Sets and Quotients of Surjeetive Operator Ideals
• An Introduction to Banach Space Theory
• Approximate Identities in Banach Algebras of Compact Operators
• Complementation in spaces of symmetric tensor products and polynomials
• Duality of the distance to closed operator ideals
• Bounded approximation properties via Banach operator ideals
• The approximation properties via the Grothendieck p‐compact sets
• History of Banach Spaces and Linear Operators
• Metric approximation properties and trace mappings
• Free Banach spaces and the approximation properties

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