\(p\)-compact holomorphic mappings

DOI10.5052/RACSAM.2010.22zbMath1242.46055OpenAlexW1537444812MaRDI QIDQ549578

Richard Martin Aron, Manuel Maestre, Pilar Rueda

Publication date: 18 July 2011

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5052/racsam.2010.22

zbMATH Keywords

\(p\)-approximation property\(p\)-compact holomorphic mappings

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Spaces of operators; tensor products; approximation properties (46B28) (Spaces of) multilinear mappings, polynomials (46G25) Spaces of differentiable or holomorphic functions on infinite-dimensional spaces (46E50)

Related Items (12)

On ‐null sequences and their relatives ⋮ \(\mathcal A\)-compact mappings ⋮ Spaceability of sets of \(p\)-compact maps ⋮ Ideals of homogeneous polynomials ⋮ \(p\)-compactness of Bloch maps ⋮ The Banach ideal of \(\mathcal A\)-compact operators and related approximation properties ⋮ On \(\alpha\)-nuclear operators with applications to vector-valued function spaces ⋮ A note on \(p\)-limited sets ⋮ Behavior of holomorphic mappings on $p$-compact sets in a Banach space ⋮ Uniform factorization for \(p\)-compact sets of \(p\)-compact linear operators ⋮ On \(p\)-compact mappings and the \(p\)-approximation property ⋮ Compactness in the space of $p$-continuous vector-valued functions

Cites Work

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• Théorie des distributions à valeurs vectorielles
• The \(p\)-approximation property in terms of density of finite rank operators
• Compact holomorphic mappings on Banach spaces and the approximation property
• Compact operators whose adjoints factor through subspaces of l_p
• Compact operators which factor through subspaces of l_p

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