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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm223-1-4, author = {L\'aszl\'o K\'erchy and Attila Szalai}, title = {Asymptotically cyclic quasianalytic contractions}, journal = {Studia Mathematica}, volume = {223}, year = {2014}, pages = {53-75}, zbl = {1302.47013}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm223-1-4} }
László Kérchy; Attila Szalai. Asymptotically cyclic quasianalytic contractions. Studia Mathematica, Tome 223 (2014) pp. 53-75. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm223-1-4/