frÉchet代数的Bse性质

IF 0.7 4区数学 Q2 MATHEMATICS Rocky Mountain Journal of Mathematics Pub Date : 2023-10-01 DOI:10.1216/rmj.2023.53.1553

Ali Rejali, Mitra Amiri

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引用次数: 0

摘要

Takahasi和Hatori引入了一类满足bochner - schoenberg - eberlein型不等式的交换Banach代数。我们将这个性质推广到可交换的fr代数(p,p, r)， r∈n。此外，我们验证和推广了Banach代数类的一些主要结果，对于fr切情况。证明了所有的fracimet C*代数和一致fracimet代数都是BSE代数。此外，我们还证明了C∞[0,1]不是一个fr切BSE代数。

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BSE PROPERTY OF FRÉCHET ALGEBRA

A class of commutative Banach algebras which satisfy a Bochner–Schoenberg–Eberlein-type inequality was introduced by Takahasi and Hatori. We generalize this property for the commutative Fréchet algebra (𝒜,pℓ)ℓ∈ℕ. Moreover, we verify and generalize some of the main results in the class of Banach algebras, for the Fréchet case. We prove that all Fréchet C*-algebras and also uniform Fréchet algebras are BSE algebras. Also, we show that C∞[0,1] is not a Fréchet BSE algebra.

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来源期刊

Rocky Mountain Journal of Mathematics 数学-数学

CiteScore

1.20

自引率

12.50%

发文量

审稿时长

7.5 months

期刊介绍： Rocky Mountain Journal of Mathematics publishes both research and expository articles in mathematics, and particularly invites well-written survey articles. The Rocky Mountain Journal of Mathematics endeavors to publish significant research papers and substantial expository/survey papers in a broad range of theoretical and applied areas of mathematics. For this reason the editorial board is broadly based and submissions are accepted in most areas of mathematics. In addition, the journal publishes specialized conference proceedings.

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