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.
1.Aupetit, B., A primer on spectral theory (Springer, Berlin, Germany, 1991).CrossRefGoogle Scholar
2
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
3.Cleveland, S. B., Homomorphism of non-commutative*-algebras, Pacific J. Math.13 (1963), 1097–1109.Google Scholar
4
4.Dowson, H. R., Spectral theory of linear operators (Academic Press, London, 1978).Google Scholar
5
5.Galé, J. E., Ransford, T. J. and White, M. C., Weakly compact homomorphisms, Proc. Amer. Math. Soc.311(2) (1992), 815–824.CrossRefGoogle Scholar
6
6.Ghahramani, F., Compact homomorphisms of C*-algebras, Proc. Amer. Math. Soc.103 (1988), 458–461.Google Scholar
7
7.Mathieu, M., Weakly compact homomorphisms, Proc. Amer. Math. Soc.107 (1989), 761–762.Google Scholar
8
8.Taylor, A. E. and Lay, D. C., Introduction to functional analysis (John Wiley, Hoboken, NJ, 1980).Google Scholar