0470373 - MÚ 2017 RIV DE eng J - Článek v odborném periodiku
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
Grant CEP: GA ČR(CZ) GA14-07880S
GRANT EU: European Commission(XE) 318910 - AOS
Institucionální podpora: RVO:67985840
Klíčová slova: bounded semigroup of operators * mean ergodic theorem * polynomial Cesàro averages * power bounded operator
Obor OECD: Pure mathematics
Impakt faktor: 0.874, rok: 2017 ; AIS: 1.204, rok: 2017
Web výsledku:
http://link.springer.com/article/10.1007%2Fs00209-016-1701-2DOI: https://doi.org/10.1007/s00209-016-1701-2

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.
Trvalý link: http://hdl.handle.net/11104/0268031