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http://dx.doi.org/10.5666/KMJ.2020.60.1.117

The Maximal Ideal Space of Extended Differentiable Lipschitz Algebras

Abolfathi, Mohammad Ali (Department of Mathematics, Urmia University)
Ebadian, Ali (Department of Mathematics, Urmia University)

Publication Information

Kyungpook Mathematical Journal / v.60, no.1, 2020 , pp. 117-125 More about this Journal

Abstract

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.

Keywords

Banach function algebra; differentiable Lipschitz algebras; extended Lipschitz algebra; maximal ideal space; rational functions;

Citations & Related Records

Reference

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