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Isomorphisms of function modules, and generalized approximation in modulus

1999/09/07 by David P. Blecher, Blecher, David P., Krzysztof Jarosz +1
Mathematics · #46J10 #47D15 #Advanced Banach Space Theory #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Mathematical Analysis and Transform Methods #math.CA #math.FA #msc:46J10 #msc:47D15

paper · pdf · doi:10.48550/arxiv.math/9909040

arxiv created 1999/09/07 · openalex publication_date 1999/09/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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. We illustrate the notions considered with several examples.

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