向量值Frechet Lipschitz代数的BSE性质

Q4 Mathematics Asia Pacific Journal of Mathematics Pub Date : 2021-12-18 DOI:10.28924/apjm/9-13

A. Rejali, Maryam Aghakoochaki

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引用次数: 0

摘要

设(X, d)是一个至少有两个元素的度量空间，(a, pl)是标量场c上的交换半单Frechet代数，研究了Frechet代数(a, pl)与Lipd(X, a)的bse性质的相关性。如果Lipd(X,A)是一个BSEFrechet代数，那么A也是一个BSEFrechet代数，如果(A, pl)是一元的，则相反的相关性将成立。

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The BSE Property for Vector-Valued Frechet Lipschitz Algebras

Let (X, d) be a metric space with at least two elements and (A, pl) be a commutative semisimple Frechet algebra over the scalar field C. The correlation between the BSE-property of the Frechet algebra (A, pl) and Lipd(X,A) is assessed. It is found and approved that if Lipd(X,A) is a BSEFrechet algebra, then so is A. The opposite correlation will hold if (A, pl) is unital.

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