Isomorphisms of function modules, and generalized approximation in modulus

Blecher, David; Jarosz, Krzysztof

doi:10.1090/S0002-9947-02-03016-7

Isomorphisms of function modules, and generalized approximation in modulus
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by David Blecher and Krzysztof Jarosz

Trans. Amer. Math. Soc. 354 (2002), 3663-3701

DOI: https://doi.org/10.1090/S0002-9947-02-03016-7

Published electronically: May 8, 2002

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Abstract:

For a function algebra $A$ we investigate relations between the following three topics: isomorphisms of singly generated $A$-modules, Morita equivalence bimodules, and “real harmonic functions” with respect to $A$. We also consider certain groups which are naturally associated with a uniform algebra $A$. We illustrate the notions considered with several examples.

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