The reflexivity of hyperexpansions and their cauchy dual operators
Operators and Matrices
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.
Podder, Shubhankar and Pradhan, Deepak Kumar, "The reflexivity of hyperexpansions and their cauchy dual operators" (2021). Journal Articles. 2207.
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