Existence of polynomials on subspaces without extension

DOI10.1090/S0002-9939-2013-11703-XzbMath1278.47061OpenAlexW2039983722MaRDI QIDQ2839309

Maite Fernández-Unzueta

Publication date: 5 July 2013

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-2013-11703-x

zbMATH Keywords

polynomials on Banach spacesHahn-Banach extensionslocal properties of Banach spaces

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Multilinear and polynomial operators (47H60)

Cites Work

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• On the subspaces of \(L^p\) \((p > 2)\) spanned by sequences of independent random variables
• Extendibility of polynomials and analytic functions on l_p
• On the extensions of homogeneous polynomials
• Extension of polynomials defined on subspaces
• A Hahn-Banach extension theorem for analytic mappings
• Extendibility of homogeneous polynomials on Banach spaces
• A Theorem on Polynomial-Star Approximation
• The Maurey extension property for Banach spaces with the Gordon–Lewis property and related structures

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