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On automatic continuity of homomorphisms
Author(s):
A.
Beddaa;
S.
J.
Bhatt;
M.
Oudadess
Journal:
Proc. Amer. Math. Soc.
128
(2000),
1039-1045.
MSC (1991):
Primary 46H40;
Secondary 46H05
Posted:
July 28, 1999
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Abstract:
Introducing a weaker notion of regularity in a topological algebra, we examine and improve an automatic continuity theorem given by the second author. Examples and applications are given.
References:
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- S. J. Bhatt and H. V. Dedania, Banach algebras with unique uniform norm, Proc. Amer. Math. Soc. 124 (2) (1996), 579-584. MR 96d:46067
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Additional Information:
A.
Beddaa
Affiliation:
Ecole Normale Superieure, B.P. 5118 Takaddoum, Rabat, Moroc
S.
J.
Bhatt
Affiliation:
Department of Mathematics, Sardar Patel University, Vallabh Vidyanagar 388120, Gujarat, India
M.
Oudadess
Affiliation:
Ecole Normale Superieure, B.P. 5118 Takaddoum, Rabat, Moroc -
DOI:
10.1090/S0002-9939-99-05040-6
PII:
S 0002-9939(99)05040-6
Keywords:
Uniform topological algebra,
locally $m$-convex algebra,
weakly regular algebra,
advertibly complete algebra,
$Q$-algebra,
automatic continuity of homomorphism
Received by editor(s):
September 10, 1997
Received by editor(s) in revised form:
May 18, 1998
Posted:
July 28, 1999
Communicated by:
Dale Alspach
Copyright of article:
Copyright
2000,
American Mathematical Society
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