@article {
author = {Moradi, S. and Honary, T. G. and Alimohammadi, D.},
title = {On the maximal ideal space of extended polynomial and rational uniform algebras},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {3},
number = {2},
pages = {1-12},
year = {2012},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2012.32},
abstract = {Let K and X be compact plane sets such that K X. Let P(K)be the uniform closure of polynomials on K. Let R(K) be the closure of rationalfunctions K with poles o K. Dene P(X;K) and R(X;K) to be the uniformalgebras of functions in C(X) whose restriction to K belongs to P(K) and R(K),respectively. Let CZ(X;K) be the Banach algebra of functions f in C(X) suchthat fjK = 0. In this paper, we show that every nonzero complex homomorphism' on CZ(X;K) is an evaluation homomorphism ez for some z in XnK. By con-sidering this fact, we characterize the maximal ideal space of the uniform algebraP(X;K). Moreover, we show that the uniform algebra R(X;K) is natural.},
keywords = {Maximal ideal space,uniform algebras,nonzero complex homomorphism},
url = {https://ijnaa.semnan.ac.ir/article_32.html},
eprint = {https://ijnaa.semnan.ac.ir/article_32_ded7ad00ddc06fb990aa09ff3ab151bd.pdf}
}