Bhatt, S. J. (1993) A seminorm with square property on a Banach algebra is submultiplicative Proceedings of the American Mathematical Society, 117 (2). pp. 435-438. ISSN 0002-9939
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Official URL: http://www.ams.org/journals/proc/1993-117-02/S0002...
Related URL: http://dx.doi.org/10.1090/S0002-9939-1993-1128724-8
Abstract
The result stated in the title is proved in a Banach algebra and is used to discuss (i) commutativity criteria in normed algebras, (ii) uniqueness of the uniform norm in uniform Banach algebras, and (iii) existence of continuous multiplicative linear functionals on topological algebras together with a simple reduction of the Michael problem in Frechet algebras. Submultiplicativity does not imply subadditivity in the presence of the square property.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to American Mathematical Society. |
| Keywords: | Seminorm with the Square Property on a Banach Algebra; Submultiplicative Seminorm; Michael Problem in Frechet algebras |
| ID Code: | 59692 |
| Deposited On: | 07 Sep 2011 05:15 |
| Last Modified: | 18 May 2016 10:10 |
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