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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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$\operatorname {Lip}_{Hol}(X,\alpha )$
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by K. Jarosz PDF
Proc. Amer. Math. Soc. 125 (1997), 3129-3130 Request permission

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
  • MR Author ID: 93850
  • Email: kjarosz@siue.edu
  • Received by editor(s): July 7, 1995
  • Received by editor(s) in revised form: October 20, 1996
  • Communicated by: Dale Alspach
  • © Copyright 1997 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 125 (1997), 3129-3130
  • MSC (1991): Primary 46J15
  • DOI: https://doi.org/10.1090/S0002-9939-97-04238-X
  • MathSciNet review: 1443834