扩展可微Lipschitz代数的极大理想空间

IF 0.6 Q3 MATHEMATICS

Kyungpook Mathematical Journal Pub Date : 2020-01-01 DOI:10.5666/KMJ.2020.60.1.117

M. Abolfathi, A. Ebadian

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引用次数: 1

摘要

本文首先引入了一类新的无限可微函数的Lipschitz代数，它们是标准的无限可微函数的Lipschitz代数的扩展。然后我们确定了这些扩展代数的极大理想空间。最后，我们证明了如果X和K是复平面上的一致正则子集，那么R(X,K)是自然的。

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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The Maximal Ideal Space of Extended Differentiable Lipschitz Algebras

In this paper, we first introduce new classes of Lipschitz algebras of infinitely differentiable functions which are extensions of the standard Lipschitz algebras of infinitely differentiable functions. Then we determine the maximal ideal space of these extended algebras. Finally, we show that if X and K are uniformly regular subsets in the complex plane, then R(X,K) is natural.

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来源期刊

Kyungpook Mathematical Journal MATHEMATICS-

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： Kyungpook Mathematical Journal is an international journal devoted to significant research concerning all aspects of mathematics. The journal has a preference for papers having a broad interest. One volume of the journal is published every year. Each volume until volume 42 consisted of two issues; however, starting from volume 43(2003), each volume consists of four issues. Authors should strive for expository clarity and good literary style. Manuscripts should be prepared as follows. The first page must consist of a short descriptive title, followed by the name(s) and address(es) of the author(s) along with an electronic address if available.