Polynomial continuity on $\ell _1$

DOI10.1090/S0002-9939-97-03733-7zbMath0870.46018MaRDI QIDQ4336590

Joaquín M. Gutiérrez, González, Manuel, Jose G. Llavona

Publication date: 13 May 1997

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

zbMATH Keywords

polynomials on Banach spacesweak polynomial topologypolynomially continuouspolynomials on \(\ell_ 1\)property (RP)

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items

Polynomial topologies on Banach spaces ⋮ The Aron-Berner extension for polynomials defined in the dual of a Banach space ⋮ The Aron‐Berner extension, Goldstine's theorem and P‐continuity ⋮ Weak-polynomial convergence on spaces \(\ell_{p}\) and \(L_{p}\)

Cites Work

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• A Uniform Algebra of Analytic Functions on a Banach Space
• Polynomial approximation of differentiable functions on Banach spaces.
• A Theorem on Polynomial-Star Approximation