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A van der Corput-type lemma for power bounded operators
- 1.0470373 - MÚ 2017 RIV DE eng J - Journal Article
ter Elst, A.F.M. - Müller, Vladimír
A van der Corput-type lemma for power bounded operators.
Mathematische Zeitschrift. Roč. 285, č. 1 (2017), s. 143-158. ISSN 0025-5874. E-ISSN 1432-1823
R&D Projects: GA ČR(CZ) GA14-07880S
EU Projects: European Commission(XE) 318910 - AOS
Institutional support: RVO:67985840
Keywords : bounded semigroup of operators * mean ergodic theorem * polynomial Cesàro averages * power bounded operator
OECD category: Pure mathematics
Impact factor: 0.874, year: 2017
http://link.springer.com/article/10.1007%2Fs00209-016-1701-2
We prove a van der Corput-type lemma for power bounded Hilbert space operators. As a corollary we show that ... converges in the strong operator topology for all power bounded Hilbert space operators T and all polynomials p satisfying .... This generalizes known results for Hilbert space contractions. Similar results are true also for bounded strongly continuous semigroups of operators.
Permanent Link: http://hdl.handle.net/11104/0268031
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