Disjoint and Simultaneously Hypercyclic Pseudo-shifts
Journal of Mathematical Analysis and Applications
Original Item ID
We characterize disjoint and simultaneously hypercyclic tuples of unilateral pseudo-shift operators on ℓp(ℕ) . As a consequence, complementing the results of Bernal and Jung, we give a characterization for simultaneously hypercyclic tuples of unilateral weighted shifts. We also give characterizations for unilateral pseudo-shifts that satisfy the Disjoint and Simultaneous Hypercyclicity Criterions. Contrary to the disjoint hypercyclicity case, tuples of weighted shifts turn out to be simultaneously hypercyclic if and only if they satisfy the Simultaneous Hypercyclicity Criterion.
Çolakoğlu, Nurhan; Martin, Özgür; and Sanders, Rebecca, "Disjoint and Simultaneously Hypercyclic Pseudo-shifts" (2022). Mathematical and Statistical Science Faculty Research and Publications. 130.