Weakly wandering vectors and interpolation theorems for power bounded operators

0360298 - MÚ 2012 RIV US eng J - Journal Article
Müller, Vladimír - Tomilov, Y.
Weakly wandering vectors and interpolation theorems for power bounded operators.
Indiana University Mathematics Journal. Roč. 59, č. 3 (2010), s. 1121-1144. ISSN 0022-2518. E-ISSN 1943-5258
R&D Projects: GA ČR GA201/09/0473
Institutional research plan: CEZ:AV0Z10190503
Keywords : power bounded operator * weakly wandering vectors * weak orbits * interpolation of orbits * spectrum
Subject RIV: BA - General Mathematics
Impact factor: 1.100, year: 2010
http://www.iumj.indiana.edu/oai/2010/59/3974/3974.xml

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.
Permanent Link: http://hdl.handle.net/11104/0197882