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18th International Conference on Operator Theory
June 27 - July 1, 2000
University of the West
Timisoara, Romania

Organizers
Dumitru Gaspar, Traian Ceausu, Aurelian Craciunescu, Aurelian Gheondea, Radu-Nicolae Gologan, Ciprian Pop, Dan Popovici, Nicolae Suciu, Alexandru Terescenco, Dan Timotin, Flavius Turcu

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Convergences of Power Sequences in Banach Algebras
by
Dragan Djordjevic
University of Nis

We consider the existence of the limits limn --> \infty an, limn --> \inftyaqn and limn --> \inftyaqn, where a is an arbitrary element of a complex Banach algebra with the unit, and q is an integer, q >= 2. Thus, results (J. J. Koliha, J. Math. Anal. Appl. 43 (1973) ) and (Chen Xu-Zhou and R. E. Hartwig, Linear Algebra Appl. 233 (1996) ) are extended.

Date received: May 15, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caeo-23.