Extendibility of homogeneous polynomials on Banach spaces

DOI10.1090/S0002-9939-98-04009-XzbMath0890.46032MaRDI QIDQ4383088

Pádraig Kirwan, Raymond A. Ryan

Publication date: 24 March 1998

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

zbMATH Keywords

extendibilityhomogeneous polynomialpredual

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Spaces of operators; tensor products; approximation properties (46B28)

Related Items (22)

A counterexample using 4-linear forms ⋮ Hahn-Banach extension of multilinear forms and summability ⋮ Hypercyclic convolution operators on Fréchet spaces of analytic functions ⋮ To what extent does the dual Banach space \(E'\) determine the polynomials over \(E\)? ⋮ Natural symmetric tensor norms ⋮ Extreme and exposed points of spaces of integral polynomials ⋮ Decomposable symmetric mappings between infinite-dimensional spaces ⋮ Extension of polynomials defined on subspaces ⋮ Polynomials and holomorphic functions on \(\mathcal{A}\)-compact sets in Banach spaces ⋮ Extension of bilinear forms on Banach spaces ⋮ Extension of vector-valued integral polynomials ⋮ Extendibility of bilinear forms on Banach sequence spaces ⋮ Ultrastability of ideals of homogeneous polynomials and multilinear mappings on Banach spaces ⋮ Unbounded violation of tripartite Bell inequalities ⋮ Diagonal extendible multilinear operators between \(\ell_p\)-spaces ⋮ Coincidence of extendible vector-valued ideals with their minimal kernel ⋮ Local complementation and the extension of bilinear mappings ⋮ Existence of polynomials on subspaces without extension ⋮ Extendible polynomials on Banach spaces ⋮ Multilinear mappings versus homogeneous polynomials and a multipolynomial polarization formula ⋮ Extension of polynomials and John’s theorem for symmetric tensor products ⋮ Bilinear ideals in operator spaces

Cites Work

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• A Canonical Extension for Analytic Functions on Banach Spaces
• Complex Geodesics on Convex Domains
• A Hahn-Banach extension theorem for analytic mappings
• Applications of Ultraproducts to Infinite Dimensional Holomorphy.
• Extension of multilinear mappings on Banach spaces
• A Theorem on Polynomial-Star Approximation

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