Constructive Theory of Banach algebras

Details Constructive Theory of Banach algebras Constructive Theory of Banach algebras

2010-02-21

arxiv.org/abs/1002.4011v1

Journal of Logic and Analysis 2:11 (2010) 1-15

Mathematics

Logic

Scientific paper

10.4115/jla.2010.2.11

We present a way to organize a constructive development of the theory of Banach algebras, inspired by works of Cohen, de Bruijn and Bishop. We illustrate this by giving elementary proofs of Wiener's result on the inverse of Fourier series and Wiener's Tauberian Theorem, in a sequel to this paper we show how this can be used in a localic, or point-free, description of the spectrum of a Banach algebra.

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