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- W1978033716 abstract "Suppose X is a compact Hausdorff space and A is a subalgebra of C(X)9 the algebra of continuous complex valued functions on X. Assume A separates the points of X, contains the constant functions, and is uniformly closed. A is then called a function algebra on X. With the weak star topology, the maximal ideal space M(A) of A is a compact Hausdorff space. We consider X as embedded in M(A) and A as a function algebra on M(A). In [4] Gleason noted that an equivalence relation could be defined on M(A) by setting x ~ y when the functional norm || x — y Λ* < 2. The equivalence classes for this relation are called the of M(A). In certain cases parts have been used to impose an analytic structure on M(A) (see for example [7])β Let P be a part of some M(A). Then clearly P is a completely regular space and fixing p e P we have" @default.
- W1978033716 created "2016-06-24" @default.
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- W1978033716 date "1967-01-01" @default.
- W1978033716 modified "2023-09-27" @default.
- W1978033716 title "A topological characterization of Gleason parts" @default.
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- W1978033716 doi "https://doi.org/10.2140/pjm.1967.20.59" @default.
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