On automatic continuity of homomorphisms

Authors:
A. Beddaa, S. J. Bhatt and M. Oudadess

Journal:
Proc. Amer. Math. Soc. **128** (2000), 1039-1045

MSC (1991):
Primary 46H40; Secondary 46H05

DOI:
https://doi.org/10.1090/S0002-9939-99-05040-6

Published electronically:
July 28, 1999

MathSciNet review:
1625768

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Abstract | References | Similar Articles | Additional Information

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.

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Additional Information

**A. Beddaa**

Affiliation:
Ecole Normale Superieure, B.P. 5118 Takaddoum, Rabat, Moroc

**S. J. Bhatt**

Affiliation:
Ecole Normale Superieure, B.P. 5118 Takaddoum, Rabat, Moroc

**M. Oudadess**

Affiliation:
Ecole Normale Superieure, B.P. 5118 Takaddoum, Rabat, Moroc;
Department of Mathematics, Sardar Patel University, Vallabh Vidyanagar 388120, Gujarat, India

DOI:
https://doi.org/10.1090/S0002-9939-99-05040-6

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

Published electronically:
July 28, 1999

Communicated by:
Dale Alspach

Article copyright:
© Copyright 2000
American Mathematical Society