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A Topological Characterization of Gleason Parts of Real Function Algebras
Published online by Cambridge University Press: 20 November 2018
Abstract
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It is well-known that a topological space is a Gleason part of some complex function algebra if and only if it is completely regular and σ-compact. In the present paper, a Gleason part of a real function algebra is characterized as a completely regular σ-compact topological space which admits an involutoric homeomorphism.
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- Research Article
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- Copyright © Canadian Mathematical Society 1983
References
1.
Garnett, J., A topological characterization of Gleason parts, Pacific J. Math., 20 (1967), 59-63.Google Scholar
2.
Kulkarni, S. H. and Limaye, B. V., Gleason parts of real function algebras, Canadian J. Math. 33 (1981), 181-200.Google Scholar
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