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Isomorphisms of function modules, and generalized approximation in modulus
Author(s):
David
Blecher;
Krzysztof
Jarosz
Journal:
Trans. Amer. Math. Soc.
354
(2002),
3663-3701.
MSC (2000):
Primary 46H25, 47L30, 46J10;
Secondary 46L07
Posted:
May 8, 2002
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Abstract:
For a function algebra we investigate relations between the following three topics: isomorphisms of singly generated -modules, Morita equivalence bimodules, and ``real harmonic functions'' with respect to . We also consider certain groups which are naturally associated with a uniform algebra . We illustrate the notions considered with several examples.
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Additional Information:
David
Blecher
Affiliation:
Department of Mathematics, University of Houston, Houston, Texas 77204-3008
Email:
dblecher@math.uh.edu
Krzysztof
Jarosz
Affiliation:
Department of Mathematics and Statistics, Southern Illinois University, Edwards- ville, Illinois 62026-1653
Email:
kjarosz@siue.edu
DOI:
10.1090/S0002-9947-02-03016-7
PII:
S 0002-9947(02)03016-7
Received by editor(s):
September 14, 1999
Received by editor(s) in revised form:
November 26, 2001
Posted:
May 8, 2002
Copyright of article:
Copyright
2002,
American Mathematical Society
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