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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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Generalizations of Cesaro means and poles of the resolvent
by
Laura Burlando
University of Genoa, Italy

An improvement of the generalization-obtained in a previous paper by the author-of the uniform ergodic theorem to poles of arbitrary order is given. In order to answer a natural question suggested by this result, an example of a bounded linear operator T, such that \frac1n2 Tn converges uniformly to zero, the sum of the range and the kernel of 1-T is closed and 1 is not a pole of the resolvent of T, is also constructed.

Date received: June 5, 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-54.