Hostname: page-component-78c5997874-g7gxr Total loading time: 0 Render date: 2024-11-20T03:38:12.444Z Has data issue: false hasContentIssue false
  • English
  • Français

Banach algebra elements whose spectra intersect R+

Published online by Cambridge University Press:  20 January 2009

F. F. Bonsall  and
A. C. Thompson
F. F. Bonsall
Affiliation:
University of Edinburgh, Edinburgh
A. C. Thompson
Affiliation:
Dalhousie University, Halifax, N.S.
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.

Let A denote a complex Banach algebra with unit, Inv(A) the set of invertible elements of A, Sp(a) and r(a) the spectrum and spectral radius respectively of an element a of A. Let Γ denote the set of elements of A whose spectra contain non-negative real numbers, i.e.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 19 , Issue 1 , March 1974 , pp. 59 - 69
Copyright
Copyright © Edinburgh Mathematical Society 1974

References

REFERENCES

(1) Bonsall, F. F., Stability theorems for cones and wedges of continuous functions. J. Functional Analysis 4 (1969), 135–145.CrossRefGoogle Scholar
(2) Bonsall, F. F., Locally compact semi-algebras, Proc. London Math. Soc. (3) 13 (1963), 51–70.Google Scholar
(3) Ford, J. W. M., A square root lemma for Banach (*)-algebras, J. London Math. Soc. 42 (1967), 521–522.CrossRefGoogle Scholar
(4) Yood, B., On non-negative spectrum in Banach algebras, Proc. Edinburgh Math. Soc. 18 (1973), 295–298.CrossRefGoogle Scholar