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包络双巴拿赫代数和近似性质

IF 1.3 4区 数学 Q1 MATHEMATICS
Journal of Mathematics Pub Date : 2024-04-09 DOI:10.1155/2024/6300080
N. Razi, A. Pourabbas
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引用次数: 0

摘要

假设是一个巴拿赫代数，并且是它的包络对偶巴拿赫代数，我们证明，如果具有相同的性质，则近似可收缩（近似可处理）。此外，我们还研究了第二对偶的伪可收缩性与伪可收缩性之间的关系，并描述了与第二对偶的近似双平面性和近似双投影性相关的近似双平面性和近似双投影性。
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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Enveloping Dual Banach Algebras and Approximate Properties
Suppose that is a Banach algebra and is its enveloping dual Banach algebra, we show that is approximately contractible (approximately amenable) if has the same property. Also, we study the relation between the pseudoamenability of and the pseudoamenability of the second dual and we also characterize approximate biflatness and approximate biprojectivity of associated with approximate biflatness and approximate biprojectivity of the second dual .
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来源期刊
Journal of Mathematics
Journal of Mathematics Mathematics-General Mathematics
CiteScore
2.50
自引率
14.30%
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0
期刊介绍： Journal of Mathematics is a broad scope journal that publishes original research articles as well as review articles on all aspects of both pure and applied mathematics. As well as original research, Journal of Mathematics also publishes focused review articles that assess the state of the art, and identify upcoming challenges and promising solutions for the community.
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