On automatic continuity of homomorphisms

Author:

Beddaa A.,Bhatt S.,Oudadess M.

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference11 articles.

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2. Automatic continuity of homomorphisms in topological algebras;Bhatt, S. J.;Proc. Amer. Math. Soc.,1993

3. Banach algebras with unique uniform norm;Bhatt, S. J.;Proc. Amer. Math. Soc.,1996

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5. [K] Vo-Khac Khoan, Distributions Analyse de Fourier Operateurs aux dérivees partielles, vol. T. 1, Vuibert, Paris, 1972.

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1. On a conjecture concerning some automatic continuity theorems;Rendiconti del Circolo Matematico di Palermo;2011-07-30

2. Positive Elements and Automatic Continuity of Algebra Morphisms;Mediterranean Journal of Mathematics;2008-04

3. Hermitian spectral theory, automatic continuity and locally convex ∗-algebras with a C-enveloping algebra;Journal of Mathematical Analysis and Applications;2007-07

4. Bibliography;Topological Algebras with Involution;2005

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