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A van der Corput-type lemma for power bounded operators

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Published in 2017 at "Mathematische Zeitschrift"

DOI: 10.1007/s00209-016-1701-2

Abstract: We prove a van der Corput-type lemma for power bounded Hilbert space operators. As a corollary we show that $$N^{-1}\sum _{n=1}^N T^{p(n)}$$N-1∑n=1NTp(n) converges in the strong operator topology for all power bounded Hilbert space operators… read more here.

Keywords: van der; der corput; corput type; power ... See more keywords