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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

$\mathrm {Lip}_{Hol}(X,\alpha )$


Author: K. Jarosz
Journal: Proc. Amer. Math. Soc. 125 (1997), 3129-3130
MSC (1991): Primary 46J15
MathSciNet review: 1443834
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Abstract: Let $X$ be a compact subset of the complex plane $\mathbb {C},$ and let $0<\alpha \leq 1.$ We show that the maximal ideal space of Banach algebras of Lipschitz functions, which are analytic on $\mathrm {int}X$, coincides with $X. $


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Additional Information

K. Jarosz
Affiliation: Department of Mathematics, Southern Illinois University at Edwardsville, Edwards- ville, Illinois 62026
Email: kjarosz@siue.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-97-04238-X
PII: S 0002-9939(97)04238-X
Received by editor(s): July 7, 1995
Received by editor(s) in revised form: October 20, 1996
Communicated by: Dale Alspach
Article copyright: © Copyright 1997 American Mathematical Society