Journal of Operator Theory

Volume 48, Issue 1, Summer 2002 pp. 69-81.

Ascent, descent, and ergodic properties of linear operators

Authors: Sandy Grabiner (1), and Jaroslav Zemanek (2)
Author institution: (1) Mathematics Department, Pomona College, Claremont, CA 91711--6348, USA
(2) Institute of Mathematics, Polish Academy of Sciences, P.O. Box 137, 00--950 Warsaw, Poland

Summary: We study the role of ascent, descent, and closedness of operator ranges in the ergodic behaviour of linear operators with respect to various operator topologies.

Keywords: Ascent, descent, spectrum, resolvent, convergence of the Cesaro means, closed range

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