Asymptotically cyclic quasianalytic contractions
Volume 223 / 2014
Studia Mathematica 223 (2014), 53-75
MSC: Primary 47A15; Secondary 47A45, 47B37.
DOI: 10.4064/sm223-1-4
Abstract
The study of quasianalytic contractions, motivated by the hyperinvariant subspace problem, is continued. Special emphasis is put on the case when the contraction is asymptotically cyclic. New properties of the functional commutant are explored. Analytic contractions and bilateral weighted shifts are discussed as illuminating examples.
