Co-analytic, right-invertible operators are supercyclic

Sameer Chavan. "Co-analytic, right-invertible operators are supercyclic." Colloquium Mathematicae 119.1 (2010): 137-142. <http://eudml.org/doc/283801>.

@article{SameerChavan2010,
abstract = {Let denote a complex, infinite-dimensional, separable Hilbert space, and for any such Hilbert space , let () denote the algebra of bounded linear operators on . We show that for any co-analytic, right-invertible T in (), αT is hypercyclic for every complex α with $|α| > β^\{-1\}$, where $β ≡ inf_\{||x||=1\}||T*x|| > 0$. In particular, every co-analytic, right-invertible T in () is supercyclic.},
author = {Sameer Chavan},
journal = {Colloquium Mathematicae},
keywords = {hypercyclic operators; supercyclic operators; co-analytic operators},
language = {eng},
number = {1},
pages = {137-142},
title = {Co-analytic, right-invertible operators are supercyclic},
url = {http://eudml.org/doc/283801},
volume = {119},
year = {2010},
}

TY - JOUR
AU - Sameer Chavan
TI - Co-analytic, right-invertible operators are supercyclic
JO - Colloquium Mathematicae
PY - 2010
VL - 119
IS - 1
SP - 137
EP - 142
AB - Let denote a complex, infinite-dimensional, separable Hilbert space, and for any such Hilbert space , let () denote the algebra of bounded linear operators on . We show that for any co-analytic, right-invertible T in (), αT is hypercyclic for every complex α with $|α| > β^{-1}$, where $β ≡ inf_{||x||=1}||T*x|| > 0$. In particular, every co-analytic, right-invertible T in () is supercyclic.
LA - eng
KW - hypercyclic operators; supercyclic operators; co-analytic operators
UR - http://eudml.org/doc/283801
ER -