Extension of polynomials and John’s theorem for symmetric tensor products

DOI10.1090/S0002-9939-06-08666-7zbMath1118.46042OpenAlexW1596728564MaRDI QIDQ3430185

Daniel Carando, Verónica Dimant

Publication date: 21 March 2007

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-06-08666-7

zbMATH Keywords

symmetric tensor productsextendible polynomials

Mathematics Subject Classification ID

Spaces of operators; tensor products; approximation properties (46B28) (Spaces of) multilinear mappings, polynomials (46G25) Tensor products in functional analysis (46M05)

Related Items

Hahn-Banach extension of multilinear forms and summability ⋮ Natural symmetric tensor norms ⋮ Factorization of \((q,p)\)-summing polynomials through Lorentz spaces ⋮ On the convergence of random polynomials and multilinear forms ⋮ Asymptotic estimates on the von Neumann inequality for homogeneous polynomials ⋮ Local complementation and the extension of bilinear mappings

Cites Work

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• Tensor products of several spaces and nuclearity
• Counterexamples to a conjecture of Grothendieck
• Polynomials on stable spaces
• Extendible polynomials on Banach spaces
• Limit orders and multilinear forms on \(\ell_p\) spaces
• Extendibility of polynomials and analytic functions on l_p
• Extension of bilinear forms on Banach spaces
• A counterexample using 4-linear forms
• Tensor Powers of Operators and Nuclearity
• Extendibility of homogeneous polynomials on Banach spaces