Polynomials in topological vector spaces over valued fields

DOI10.1007/BF02844640zbMath0674.46055OpenAlexW2092084513MaRDI QIDQ1121501

Dinamérico P. jun. Pombo

Publication date: 1988

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02844640

zbMATH Keywords

polynomial versions of certain well-known theorems of the linear theory of locally convex spacesvector space of continuous m-homogeneous polynomials between topological vector spaces over a non-trivially valued field of characteristic zero

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Topological linear spaces of continuous, differentiable or analytic functions (46E10) General theory of locally convex spaces (46A03)

Related Items

Polynomials versions of denumerable type on non-Archimedean locally convex spaces ⋮ Polynomials on locally K-convex spaces ⋮ \(p\)-adic Ascoli theorems and compactoid polynomials ⋮ Polynomials and multilinear mappings in topological modules

Cites Work

• Compact holomorphic mappings on Banach spaces and the approximation property
• Sur certains espaces vectoriels topologiques
• A proof of Schauder's theorem
• On polynomial classification of locally convex spaces
• Polynomials and multilinear mappings in topological vector-spaces
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