The maximal ideal space of $\textrm {lip}_ A(X,\alpha )$
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- by H. Mahyar PDF
- Proc. Amer. Math. Soc. 122 (1994), 175-181 Request permission
Abstract:
Let X be a compact subset of the complex plane $\mathbb {C}$, and let $0 < \alpha < 1$. We show that the maximal ideal space of $\operatorname {lip}_A(X,\alpha )$ is X.References
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T. Gamelin, Uniform algebras, Chelsea, New York, 1984.
- Taher G. Honary, Relations between Banach function algebras and their uniform closures, Proc. Amer. Math. Soc. 109 (1990), no. 2, 337–342. MR 1007499, DOI 10.1090/S0002-9939-1990-1007499-4
- Donald R. Sherbert, The structure of ideals and point derivations in Banach algebras of Lipschitz functions, Trans. Amer. Math. Soc. 111 (1964), 240–272. MR 161177, DOI 10.1090/S0002-9947-1964-0161177-1
- Elias M. Stein, Singular integrals and differentiability properties of functions, Princeton Mathematical Series, No. 30, Princeton University Press, Princeton, N.J., 1970. MR 0290095
Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 122 (1994), 175-181
- MSC: Primary 46J15; Secondary 46J20
- DOI: https://doi.org/10.1090/S0002-9939-1994-1257117-9
- MathSciNet review: 1257117