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02 November 2024
 
  » arxiv » 2206.00986

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The Banach algebras $AC(σ)$ and $BV(σ)$
Ian Doust ; Michael Leinert ; Alan Stoneham ;
Date 2 Jun 2022
AbstractThe spaces $BV(sigma)$ and $AC(sigma)$ 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.
Source arXiv, 2206.00986
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