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Remarks on Bishop - type operators
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SYSNO ASEP 0343537 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Ostatní články Title Remarks on Bishop - type operators Author(s) Ambrozie, Calin-Grigore (MU-W) RID, SAI Source Title Annals of the University of Bucharest, Mathematical series - ISSN 1010-5433
Roč. 59, č. 1 (2010), s. 5-16Number of pages 12 s. Language eng - English Country RO - Romania Keywords invariant subspace ; irrational rotation Subject RIV BA - General Mathematics R&D Projects GA201/06/0128 GA ČR - Czech Science Foundation (CSF) IAA100190903 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) CEZ AV0Z10190503 - MU-W (2005-2011) Annotation We consider operators of weighted composition by irrational rotations on the space L2 of the unit circle, for which several results of invariant subspaces are known. We show that various proofs of these results can be simplified, made more conceptual and slightly extended using certain topics on generalized spectral operators. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2011
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