Hypercyclic Shift Factorizations for Unilateral Weighted Backward Shift Operators
Journal of Operator Theory
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.
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.