The Banach algebras $AC(\sigma)$ and $BV(\sigma)$
Functional Analysis
2023-05-29 v1
Abstract
The spaces and were introduced as part of a program to find a general theory which covers both well-bounded operators and trigonometrically well-bounded operators acting on a Banach space. Since their initial appearance it has become clear that the definitions could be simplified somewhat. In this paper we give a self-contained exposition of the main properties of these spaces using this simplified approach.
Keywords
Cite
@article{arxiv.2206.00986,
title = {The Banach algebras $AC(\sigma)$ and $BV(\sigma)$},
author = {Ian Doust and Michael Leinert and Alan Stoneham},
journal= {arXiv preprint arXiv:2206.00986},
year = {2023}
}
Comments
33 pages. Some material previously appeared in an earlier version of arxiv:1312.1806