Hostname: page-component-78c5997874-j824f Total loading time: 0 Render date: 2024-11-10T17:13:30.313Z Has data issue: false hasContentIssue false

FINITE RANK RIESZ OPERATORS

Published online by Cambridge University Press:  02 September 2013

U. KOUMBA
Affiliation:
Department of Mathematics, University of Johannesburg, APK Campus, Aucklandpark 2006, South Africa e-mails: uakoumba@uj.ac.za; heinrichr@uj.ac.za
H. RAUBENHEIMER
Affiliation:
Department of Mathematics, University of Johannesburg, APK Campus, Aucklandpark 2006, South Africa e-mails: uakoumba@uj.ac.za; heinrichr@uj.ac.za
Rights & Permissions [Opens in a new window]

Abstract

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 provide conditions under which a Riesz operator defined on a Banach space is a finite rank operator.

Keywords

Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 2013 

References

REFERENCES

1.Aupetit, B., A primer on spectral theory (Springer, Berlin, Germany, 1991).CrossRefGoogle Scholar
2.Caradus, S. R., Pfaffenberger, W. E. and Yood, B., Calkin algebra and algebras of operators on Banach spaces, Lecture Notes in Pure and Applied Mathematics, vol. 9 (Marcel Dekker, New York, NY, 1974).Google Scholar
3.Cleveland, S. B., Homomorphism of non-commutative*-algebras, Pacific J. Math. 13 (1963), 10971109.Google Scholar
4.Dowson, H. R., Spectral theory of linear operators (Academic Press, London, 1978).Google Scholar
5.Galé, J. E., Ransford, T. J. and White, M. C., Weakly compact homomorphisms, Proc. Amer. Math. Soc. 311 (2) (1992), 815824.CrossRefGoogle Scholar
6.Ghahramani, F., Compact homomorphisms of C*-algebras, Proc. Amer. Math. Soc. 103 (1988), 458461.Google Scholar
7.Mathieu, M., Weakly compact homomorphisms, Proc. Amer. Math. Soc. 107 (1989), 761762.Google Scholar
8.Taylor, A. E. and Lay, D. C., Introduction to functional analysis (John Wiley, Hoboken, NJ, 1980).Google Scholar