A van der Corput-type lemma for power bounded operators

ter Elst, Antonius; Müller, V

dc.contributor.author	ter Elst, Antonius	en
dc.contributor.author	Müller, V	en
dc.date.accessioned	2017-03-30T03:02:24Z	en
dc.date.issued	2017-02	en
dc.identifier.citation	Mathematische Zeitschrift 285(1):143-158 Feb 2017	en
dc.identifier.issn	0025-5874	en
dc.identifier.uri	http://hdl.handle.net/2292/32385	en
dc.description.abstract	We prove a van der Corput-type lemma for power bounded Hilbert space operators. As a corollary we show that N−1∑Nn=1Tp(n)N−1∑n=1NTp(n) converges in the strong operator topology for all power bounded Hilbert space operators T and all polynomials p satisfying p(N0)⊂N0p(N0)⊂N0. This generalizes known results for Hilbert space contractions. Similar results are true also for bounded strongly continuous semigroups of operators.	en
dc.publisher	Springer Verlag	en
dc.relation.ispartofseries	Mathematische Zeitschrift	en
dc.rights	Items in ResearchSpace are protected by copyright, with all rights reserved, unless otherwise indicated. Previously published items are made available in accordance with the copyright policy of the publisher.	en
dc.rights.uri	https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm	en
dc.title	A van der Corput-type lemma for power bounded operators	en
dc.type	Journal Article	en
dc.identifier.doi	10.1007/s00209-016-1701-2	en
pubs.issue	1	en
pubs.begin-page	143	en
pubs.volume	285	en
dc.rights.holder	Copyright: Springer Verlag	en
pubs.end-page	158	en
pubs.publication-status	Published online	en
dc.rights.accessrights	http://purl.org/eprint/accessRights/RestrictedAccess	en
pubs.subtype	Article	en
pubs.elements-id	554717	en
pubs.org-id	Science	en
pubs.org-id	Mathematics	en
dc.identifier.eissn	1432-1823	en
pubs.record-created-at-source-date	2017-03-30	en
pubs.online-publication-date	2016-06-03	en