Hostname: page-component-7b7567c8c-fvjsw Total loading time: 0 Render date: 2026-11-15T04:06:58.003Z Has data issue: false hasContentIssue false
  • English
  • Français

Square roots in Banach *-algebras

Published online by Cambridge University Press:  18 May 2009

F. F. Bonsall and
D. S. G. Stirling
F. F. Bonsall
Affiliation:
University of Edinburgh
D. S. G. Stirling
Affiliation:
University of Edinburgh
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the 'Save PDF' action button.

We give a simple proof of the lemma of Ford [1] on the existence of self-adjoint square roots in Banach*-algebras in which continuity of the involution is not assumed.

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 13 , Issue 1 , March 1972, pp. 74
Copyright
Copyright © Glasgow Mathematical Journal Trust 1972

References

REFERENCES

1.Ford, J. W. M., A square root lemma for Banach-algebras, J. London Math. Soc. 42 (1967), 521–522.Google Scholar
2.Holmes, R. B., A formula for the spectral radius of an operator, Amer. Math. Monthly 75 (1968), 163–166.Google Scholar