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Weakly wandering vectors and interpolation theorems for power bounded operators
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SYSNO ASEP 0360298 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Weakly wandering vectors and interpolation theorems for power bounded operators Author(s) Müller, Vladimír (MU-W) RID, SAI
Tomilov, Y. (PL)Source Title Indiana University Mathematics Journal. - : Indiana University - ISSN 0022-2518
Roč. 59, č. 3 (2010), s. 1121-1144Number of pages 24 s. Language eng - English Country US - United States Keywords power bounded operator ; weakly wandering vectors ; weak orbits ; interpolation of orbits ; spectrum Subject RIV BA - General Mathematics R&D Projects GA201/09/0473 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000286152100015 EID SCOPUS 79954433583 DOI 10.1512/iumj.2010.59.3974 Annotation Let T be a power bounded Hilbert space operator with infinite peripheral spectrum and empty point peripheral spectrum. Then there exists a dense subset of weakly wandering vectors. This improves corresponding results for unitary operators which are known from ergodic theory. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2012
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