The reflexivity of hyperexpansions and their cauchy dual operators

Authors

Shubhankar Podder, Harish Chandra Research Institute
Deepak Kumar Pradhan, Indian Statistical Institute Bangalore

Article Type

Research Article

Publication Title

Operators and Matrices

Abstract

We discuss the reflexivity of hyperexpansions and their Cauchy dual operators. In particular, we show that any cyclic completely hyperexpansive operator is reflexive. We also establish the reflexivity of the Cauchy dual of an arbitrary 2-hyperexpansive operator. As a consequence, we deduce the reflexivity of the so-called Bergman-type operator, that is, a leftinvertible operator T satisfying the inequality TT∗+(T∗T)−1≤2IH.

First Page

195

Last Page

207

DOI

10.7153/oam-2021-15-14

Publication Date

1-1-2021

Comments

Open Access, Bronze, Green

Recommended Citation

Podder, Shubhankar and Pradhan, Deepak Kumar, "The reflexivity of hyperexpansions and their cauchy dual operators" (2021). Journal Articles. 2207.
https://digitalcommons.isical.ac.in/journal-articles/2207