Annals of Functional Analysis

A note on the hypercyclicity of operator-weighted shifts

Ya Wang and Ze-Hua Zhou

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In this article, we give equivalent conditions for the hypercyclicity of bilateral operator-weighted shifts on L2(K) with weight sequence {An}n= of positive invertible diagonal operators on a separable complex Hilbert space K, as well as for hereditarily hypercyclicity and supercyclicity.

Article information

Ann. Funct. Anal., Volume 9, Number 3 (2018), 322-333.

Received: 27 April 2017
Accepted: 6 July 2017
First available in Project Euclid: 29 January 2018

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 47A16: Cyclic vectors, hypercyclic and chaotic operators
Secondary: 47B37: Operators on special spaces (weighted shifts, operators on sequence spaces, etc.)

hypercyclic operator supercyclic operator operator-weighted shifts


Wang, Ya; Zhou, Ze-Hua. A note on the hypercyclicity of operator-weighted shifts. Ann. Funct. Anal. 9 (2018), no. 3, 322--333. doi:10.1215/20088752-2017-0039.

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