Remarks on Bishop - type operators

0343537 - MÚ 2011 RIV RO eng J - Journal Article
Ambrozie, Calin-Grigore
Remarks on Bishop - type operators.
Annals of the University of Bucharest. Roč. 59, č. 1 (2010), s. 5-16. ISSN 1010-5433
R&D Projects: GA ČR(CZ) GA201/06/0128; GA AV ČR IAA100190903
Institutional research plan: CEZ:AV0Z10190503
Keywords : invariant subspace * irrational rotation
Subject RIV: BA - General Mathematics
http://fmi.unibuc.ro/ro/anale/matematica/1_2010/ambrozie.pdf

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.
Permanent Link: http://hdl.handle.net/11104/0185991