Hostname: page-component-cd9895bd7-q99xh Total loading time: 0 Render date: 2024-12-26T12:51:46.120Z Has data issue: false hasContentIssue false
  • English
  • Français

Spectra of approximate identities in Banach algebras

Published online by Cambridge University Press:  24 October 2008

P. G. Dixon
P. G. Dixon
Affiliation:
University of Sheffield
Get access Rights & Permissions [Opens in a new window]

Extract

1. Introduction. The aim of this paper is to show that, in every complex Banach algebra with a one-sided or two-sided bounded approximate identity, there exists another bounded approximate identity of the same sort whose spectra lie close to the unit interval [0, 1].

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 86 , Issue 2 , September 1979 , pp. 271 - 278
Copyright
Copyright © Cambridge Philosophical Society 1979

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Dixon, P. G.Approximate identities in normed algebras. Proc. London Math. Soc. (3) 26 (1973), 485–496.CrossRefGoogle Scholar
(2)Dixon, P. G.Approximate identities in normed algebras II. J. London Math. Soc. (2) 17 (1978), 141–151.CrossRefGoogle Scholar
(3)Doran, R. S. and Wichmann, J.Approximate identities and factorization in Banach modules (to appear).Google Scholar
(4)Sinclair, A. M.Bounded approximate identities, factorization, and a convolution algebra. J. Functional Analysis 29 (1978), 308–318.CrossRefGoogle Scholar
(5)Sinclair, A. M.Cohen's factorization method using an algebra of analytic functions. Proc. London Math. Soc. (3) 39 (1979), 451–468.CrossRefGoogle Scholar