论文标题

Banach代数$ AC(σ)$和$ bv(σ)$

The Banach algebras $AC(σ)$ and $BV(σ)$

论文作者

Doust, Ian, Leinert, Michael, Stoneham, Alan

论文摘要

作为计划的一部分,引入了$ bv(σ)$和$ ac(σ)$的空间$(σ)$(σ)$,该计划找到了一个涵盖良好的操作员和在Banach空间上行动的良好的三角经营者。自从他们最初的出现以来,很明显可以简化这些定义。 在本文中,我们使用这种简化的方法对这些空间的主要特性进行了独立的说明。

The spaces $BV(σ)$ and $AC(σ)$ 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.

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