Asymptotically cyclic quasianalytic contractions

László Kérchy, and Attila Szalai. "Asymptotically cyclic quasianalytic contractions." Studia Mathematica 223.1 (2014): 53-75. <http://eudml.org/doc/285786>.

@article{LászlóKérchy2014,
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.},
author = {László Kérchy, Attila Szalai},
journal = {Studia Mathematica},
keywords = {quasianalytic contraction; quasianalytic function space; unitary asymptote; hyperinvariant subspace problem; analytic operator; bilateral weighted shift},
language = {eng},
number = {1},
pages = {53-75},
title = {Asymptotically cyclic quasianalytic contractions},
url = {http://eudml.org/doc/285786},
volume = {223},
year = {2014},
}

TY - JOUR
AU - László Kérchy
AU - Attila Szalai
TI - Asymptotically cyclic quasianalytic contractions
JO - Studia Mathematica
PY - 2014
VL - 223
IS - 1
SP - 53
EP - 75
AB - 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.
LA - eng
KW - quasianalytic contraction; quasianalytic function space; unitary asymptote; hyperinvariant subspace problem; analytic operator; bilateral weighted shift
UR - http://eudml.org/doc/285786
ER -