Dual Hypercyclic Extension for an Operator on a Hilbert Subspace

Author(s)

Kit C. Chan, Bowling Green State UniversityFollow
Gokul R. Kadel

Document Type

Article

Abstract

Let M be a closed nontrivial subspace of a separable, infinite dimensional Hilbert space H with dim(H/M) = ∞. We show that a bounded linear operator A : M → M has a dual hypercyclic extension T : H → H if and only if its adjoint A∗ : M → M is hypercyclic.

Repository Citation

Chan, Kit C. and Kadel, Gokul R., "Dual Hypercyclic Extension for an Operator on a Hilbert Subspace" (2015). Mathematics and Statistics Faculty Publications. 31.
https://scholarworks.bgsu.edu/math_stat_pub/31

Publication Date

2015

Publication Title

Houston Journal of Mathematics

Volume

41

Issue

4

Start Page No.

1221

End Page No.

1256