Bridges, D.S. and Havea, Robin S. (2009) Constructing square roots in a Banach algebra. Scientae Mathematicae Japonicae, 70 (3). pp. 355-366. ISSN 1346-0447
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Official URL: http://www.jams.or.jp/notice/scmj/70-3.html
Abstract
The primary aim of the paper is to prove, within Bishop-style constructive mathematics and by elementary means (that is, without employing the full functional calculus), that under suitable conditions on the Banach algebra, its positive elements have positive square roots. This requires careful definition of such notions as positivity for Banach-algebra elements. The results are then applied to a problem about principal ideals in a Banach algebra.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science, Technology and Environment (FSTE) > School of Computing, Information and Mathematical Sciences |
| Depositing User: | Ms Neha Harakh |
| Date Deposited: | 24 May 2009 23:06 |
| Last Modified: | 29 Mar 2012 06:59 |
| URI: | https://repository.usp.ac.fj/id/eprint/1454 |
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