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On the ultrametric Stone-Weierstrass theorem and Mahler's expansion

Paul-Jean Cahen, Jean-Luc Chabert (2002)

Journal de théorie des nombres de Bordeaux

We describe an ultrametric version of the Stone-Weierstrass theorem, without any assumption on the residue field. If E is a subset of a rank-one valuation domain V , we show that the ring of polynomial functions is dense in the ring of continuous functions from E to V if and only if the topological closure E ^ of E in the completion V ^ of V is compact. We then show how to expand continuous functions in sums of polynomials.

On the weak amenability of ℬ(X)

A. Blanco (2010)

Studia Mathematica

We investigate the weak amenability of the Banach algebra ℬ(X) of all bounded linear operators on a Banach space X. Sufficient conditions are given for weak amenability of this and other Banach operator algebras with bounded one-sided approximate identities.

On topological algebras

G. A. Stavrakas (1991)

Πανελλήνιο Συνέδριο Μαθηματικής Παιδείας

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