Algebraic structure in complex function spaces
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- by A. J. Ellis PDF
- Proc. Amer. Math. Soc. 107 (1989), 621-626 Request permission
Abstract:
Let $M$ be a complex function space containing constants, and let $Z$ be the complex state space of $M$. If $M$ is linearly isometric to a uniform algebra and if $Z$ is affinely homeomorphic to the complex state space of a uniform algebra then we prove that $M$ is a uniform algebra. Neither of the two conditions taken separately imply this conclusion.References
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Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 107 (1989), 621-626
- MSC: Primary 46J10; Secondary 46E25
- DOI: https://doi.org/10.1090/S0002-9939-1989-0975640-7
- MathSciNet review: 975640