The Weierstrass-Stone theorem in absolute valued division rings

DOI10.1016/0019-3577(93)90053-2zbMath0778.46050OpenAlexW2012909866MaRDI QIDQ2367457

João B. Prolla

Publication date: 15 August 1993

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0019-3577(93)90053-2

zbMATH Keywords

sup-normStone-Weierstrass theoremnon-Archimedean absolute valued division ringspace of all continuous functions

Mathematics Subject Classification ID

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)

Related Items

Restricted range simultaneous approximation and interpolation with preservation of the norm

Cites Work

• A simple proof of Mahler's theorem on approximation of continuous functions of a p-adic variable by polynomials
• A correction to the paper An Interpolation Series for continuous functions of a p-adic variable.
• Compactly generated algebras over discrete fields
• Topological Rings
• The Weierstrass Theorem in Fields with Valuations
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