关于近似双投影和近似双平面Banach代数

IF 0.8 4区数学 Q2 MATHEMATICS

Filomat Pub Date : 2023-01-01 DOI:10.2298/fil2308295s

A. Sahami, A. Bodaghi

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引用次数: 0

摘要

本文研究了一类Banach代数a的近似双投影性和近似双平面性，并得到了这些概念之间的关系。-收缩性，在哪里?是a上的一个字符。除此之外，我们证明了?-劳积代数L1(G) ??当且仅当G有限时，A(G)是近似双投影的，其中L1(G)和A(G)分别是局部紧群G的群代数和傅里叶代数。我们还刻画了与逆半群相关的近似双投影半群和近似双平面半群代数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On approximately biprojective and approximately biflat Banach algebras

In this paper, we study the approximate biprojectivity and the approximate biflatness of a Banach algebra A and find some relations between theses concepts with ?-amenability and ? -contractibility, where ? is a character on A. Among other things, we show that ?-Lau product algebra L1(G) ?? A(G) is approximately biprojective if and only if G is finite, where L1(G) and A(G) are the group algebra and the Fourier algebra of a locally compact group G, respectively. We also characterize approximately biprojective and approximately biflat semigroup algebras associated with the inverse semigroups.

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