Constructive theory of Banach algebras
Copyright policy )Constructive theory of Banach algebras
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.
- Radboud University Nijmegen Netherlands
Mathematics - Functional Analysis, QA1-939, FOS: Mathematics, Mathematics - Logic, Digital Security, 46Jxx, 06D22, 03F60, Logic (math.LO), Mathematics, Functional Analysis (math.FA)
Mathematics - Functional Analysis, QA1-939, FOS: Mathematics, Mathematics - Logic, Digital Security, 46Jxx, 06D22, 03F60, Logic (math.LO), Mathematics, Functional Analysis (math.FA)
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).1 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!