Precompactness in the uniform ergodic theory
Lyubich, Yu. ; Zemánek, J.
Studia Mathematica, Tome 108 (1994), p. 89-97 / Harvested from The Polish Digital Mathematics Library
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We characterize the Banach space operators T whose arithmetic means n-1(I+T+...+Tn-1)n≥1 form a precompact set in the operator norm topology. This occurs if and only if the sequence n-1Tnn≥1 is precompact and the point 1 is at most a simple pole of the resolvent of T. Equivalent geometric conditions are also obtained.

Publié le : 1994-01-01
EUDML-ID : urn:eudml:doc:216140 
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     title = {Precompactness in the uniform ergodic theory},
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     year = {1994},
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Lyubich, Yu.; Zemánek, J. Precompactness in the uniform ergodic theory. Studia Mathematica, Tome 108 (1994) pp. 89-97. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv112i1p89bwm/

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