Proceedings of the American Mathematical Society

			Journals Home Search Author Info Subscribe Tech Support Help
ISSN 1088-6826 (e) ISSN 0002-9939 (p)

Previous issue \| Table of contents \| Next issue Articles in press \| Recently posted articles \| Most recent issue \| All issues Previous Article \| Next Article

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

Author(s): K. Jarosz
Journal: Proc. Amer. Math. Soc. 125 (1997), 3129-3130.
MSC (1991): Primary 46J15
Retrieve article in: PDF
This article is available free of charge

Abstract | References | Similar articles | Additional information

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. $

References:

1.: H. G. Dales and A. M. Davie. Quasianalytic Banach function algebras. Journal of Functional Analysis, 13:28-50, 1973. MR 49:7782
2.: T. G. Honary. Relations between Banach function algebras and their uniform closures. Proc. Amer. Math. Soc., 109(2):337-342, June 1990. MR 91d:46066
3.: H. Mahyar. The maximal ideal space of $lip_{A}({X}, \alpha )$ . Proc. Amer. Math. Soc., 122(1):175-181, September 1994. MR 95a:46074


	Comments: webmaster@ams.org © Copyright 2009, American Mathematical Society Privacy Statement		Search the AMS