Extension of vector-valued integral polynomials

DOI10.1016/j.jmaa.2004.10.020zbMath1082.46034OpenAlexW2079338990MaRDI QIDQ555825

Silvia Lassalle, Daniel Carando

Publication date: 10 June 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.10.020

zbMATH Keywords

integral polynomialsextendibility

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Spaces of operators; tensor products; approximation properties (46B28) (Spaces of) multilinear mappings, polynomials (46G25)

Related Items

Asplund operators and \(p\)-integral polynomials, Representable and Radon-Nikodým polynomials, Some progress on the polynomial Dunford-Pettis property, Polynomials and holomorphic functions on \(\mathcal{A}\)-compact sets in Banach spaces, Factorization of entire mappings of nuclear bounded type, Polynomials with an integral representation, Integral polynomials on Banach spaces not containing ℓ1, Diagonal extendible multilinear operators between \(\ell_p\)-spaces, Coincidence of extendible vector-valued ideals with their minimal kernel, Coherent sequences of polynomial ideals on Banach spaces, Factorable strongly \(p\)-nuclear \(m\)-homogeneous polynomials, Bilinear ideals in operator spaces

Cites Work

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• Extension and lifting of polynomials
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• Integral mappings between Banach spaces
• \(E^{\prime }\) and its relation with vector-valued functions on \(E\)
• Duality in spaces of nuclear and integral polynomials
• Extension of bilinear forms on Banach spaces
• Multilinear Mappings of Nuclear and Integral Type
• Some more characterizations of Banach spaces containing l₁
• A Hahn-Banach extension theorem for analytic mappings
• A Hahn-Banach theorem for integral polynomials
• Extension of multilinear mappings on Banach spaces
• Extendibility of homogeneous polynomials on Banach spaces
• A Theorem on Polynomial-Star Approximation
• Nuclear and integral polynomials
• The Adjoint of a Bilinear Operation
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