Behavior of holomorphic mappings on $p$-compact sets in a Banach space

DOI10.1090/tran/6499zbMath1346.46039OpenAlexW2205276267MaRDI QIDQ2790640

Manuel Maestre, Domingo García, Erhan Çalışkan, Richard Martin Aron

Publication date: 7 March 2016

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/tran/6499

zbMATH Keywords

\(p\)-compact set\(p\)-compact linear operatorentire holomorphic mappinglinearisation of homogeneous polynomial

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Linear operators defined by compactness properties (47B07) Spaces of operators; tensor products; approximation properties (46B28) (Spaces of) multilinear mappings, polynomials (46G25)

Related Items (5)

Spaceability of sets of \(p\)-compact maps ⋮ \(p\)-compactness of Bloch maps ⋮ Polynomials and holomorphic functions on \(\mathcal{A}\)-compact sets in Banach spaces ⋮ Operator \(p\)-compact mappings ⋮ Compactness in the space of $p$-continuous vector-valued functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(p\)-compact holomorphic mappings
• The dual space of (\(\mathcal L(X, Y), \tau _p\)) and the \(p\)-approximation property
• On \(p\)-compact mappings and the \(p\)-approximation property
• Density of finite rank operators in the Banach space of \(p\)-compact operators
• The \(p\)-approximation property in terms of density of finite rank operators
• Ideals of homogeneous polynomials
• Compact operators whose adjoints factor through subspaces of l_p
• Operators whose adjoints are quasi p-nuclear
• Compact operators which factor through subspaces of l_p
• Produits tensoriels topologiques et espaces nucléaires

This page was built for publication: Behavior of holomorphic mappings on $p$-compact sets in a Banach space