Brudnyi, Alexander and Sasane, Amol 
ORCID: 0000-0001-5566-9877
(2009)
Sufficient conditions for the projective freeness of Banach algebras.
Journal of Functional Analysis, 257 (12).
pp. 4003-4014.
ISSN 0022-1236
Abstract
Let R be a unital semi-simple commutative complex Banach algebra, and let M(R) denote its maximal ideal space, equipped with the Gelfand topology. Sufficient topological conditions are given on M(R) for R to be a projective free ring, that is, a ring in which every finitely generated projective R-module is free. Several examples are included, notably the Hardy algebra H∞(X) of bounded holomorphic functions on a Riemann surface of finite type, and also some algebras of stable transfer functions arising in control theory.
| Item Type: | Article |
|---|---|
| Official URL: | http://www.elsevier.com/wps/find/journaldescriptio... |
| Additional Information: | © 2009 Elsevier Inc. |
| Divisions: | Mathematics |
| Subjects: | Q Science > QA Mathematics |
| Date Deposited: | 31 Mar 2010 11:31 |
| Last Modified: | 11 Sep 2025 07:36 |
| URI: | http://eprints.lse.ac.uk/id/eprint/27648 |
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