Bhatt, S. J. (1993) Automatic continuity of homomorphisms in topological algebras Proceedings of the American Mathematical Society, 119 (1). pp. 135-139. ISSN 0002-9939
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Official URL: http://www.ams.org/journals/proc/1993-119-01/S0002...
Related URL: http://dx.doi.org/10.1090/S0002-9939-1993-1164140-0
Abstract
A homomorphism from a locally convex Q-algebra to a uniform topological algebra is continuous. A one-to-one homomorphism from a regular complete spectrally bounded uniform topological algebra onto a dense subalgebra of a semisimple locally m-convex Q-algebra is open. Examples are discussed to show that none of the assumptions in these results can be omitted.
| Item Type: | Article |
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| Source: | Copyright of this article belongs to American Mathematical Society. |
| Keywords: | Uniform Seminorm; Locally Convex Q-algebras; Uniform Algebras; Regular Algebras |
| ID Code: | 59693 |
| Deposited On: | 07 Sep 2011 05:16 |
| Last Modified: | 18 May 2016 10:10 |
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