Article
Kyungpook Mathematical Journal 2020; 60(1): 117-125
Published online March 31, 2020
Copyright © Kyungpook Mathematical Journal.
The Maximal Ideal Space of Extended Differentiable Lipschitz Algebras
Mohammad Ali Abolfathi∗ and Ali Ebadian
Department of Mathematics, Urmia University, P. O. Box 165, Urmia, Iran
e-mail : m.abolfathi@urmia.ac.ir and a.ebadian@urmia.ac.ir
Received: May 14, 2018; Revised: December 25, 2018; Accepted: December 26, 2018
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
Keywords: Banach function algebra, diff,erentiable Lipschitz algebras, extended Lipschitz algebra, maximal ideal space, rational functions. This work was supported by Urmia University.