Proceedings of the American Mathematical Society

Author(s): T. W. Dawson; J. F. Feinstein
Journal: Proc. Amer. Math. Soc. 131 (2003), 2831-2839.
MSC (2000): Primary 46J10, 46H05
Posted: April 7, 2003
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Abstract: We examine the condition that a complex Banach algebra

has dense invertible group. We show that, for commutative algebras, this property is preserved by integral extensions. We also investigate the connections with an old problem in the theory of uniform algebras.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 46J10, 46H05

T. W. Dawson
Affiliation: Division of Pure Mathematics, School of Mathematical Sciences, University of Nottingham, University Park, Nottingham, NG7 2RD, United Kingdom
Email: pmxtwd@nottingham.ac.uk

J. F. Feinstein
Affiliation: Division of Pure Mathematics, School of Mathematical Sciences, University of Nottingham, University Park, Nottingham, NG7 2RD, United Kingdom
Email: Joel.Feinstein@nottingham.ac.uk

DOI: 10.1090/S0002-9939-03-07058-8
PII: S 0002-9939(03)07058-8
Received by editor(s): April 4, 2002
Posted: April 7, 2003
Additional Notes: The first author thanks the EPSRC for providing support for this research
Communicated by: N. Tomczak-Jaegermann
Copyright of article: Copyright 2003, American Mathematical Society

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