# HYPERCYCLIC OPERATOR WEIGHTED SHIFTS

• Hazarika, Munmun (Department of Mathematical Sciences, Tezpur University) ;
• Arora, S.C. (Department of Mathematics, University of Delhi)
• Published : 2004.11.01

#### Abstract

We consider bilateral operator weighted shift T on $L^2$(K) with weight sequence ${[A_{n}]_{n=-{\infty}}}^{\infty}$ of positive invertible diagonal operators on K. We give a characterization for T to be hypercyclic, and show that the conditions are far simplified in case T is invertible.

#### References

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#### Cited by

1. HEREDITARILY HYPERCYCLICITY AND SUPERCYCLICITY OF WEIGHTED SHIFTS vol.51, pp.2, 2014, https://doi.org/10.4134/JKMS.2014.51.2.363
2. Disjoint hypercyclic weighted pseudo-shifts on Banach sequence spaces vol.69, pp.3, 2018, https://doi.org/10.1007/s13348-018-0216-z