Hypercyclic Shift Factorizations for Unilateral Weighted Backward Shift Operators

Authors

Kit C. Chan, Bowling Green State UniversityFollow
Rebecca Sanders, Marquette UniversityFollow

Document Type

Article

Publication Date

Fall 2018

Publisher

Theta Foundation

Source Publication

Journal of Operator Theory

Source ISSN

0379-4024

Abstract

We show that every unilateral weighted backward shift T on ℓ ^p, where 1⩽p<∞ has the factorization T=AB with two hypercyclic operators A and B, one of which is a unilateral weighted backward shift and the other one is a bilateral weighted shift.

Comments

Journal of Operator Theory, Vol. 80, No. 2 (Fall 2018): 349-374. Permalink.

Recommended Citation

Chan, Kit C. and Sanders, Rebecca, "Hypercyclic Shift Factorizations for Unilateral Weighted Backward Shift Operators" (2018). Mathematical and Statistical Science Faculty Research and Publications. 91.
https://epublications.marquette.edu/math_fac/91