2 papers
math.FA2018
The reflexivity of hyperexpansions and their Cauchy dual operators
Shubhankar Podder, Deepak Kumar Pradhan
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 estab…
math.FA2017
Commutants and Reflexivity of Multiplication tuples on Vector-valued Reproducing Kernel Hilbert Spaces
Sameer Chavan, Shubhankar Podder, Shailesh Trivedi
Motivated by the theory of weighted shifts on directed trees and its multivariable counterpart, we address the question of identifying commutant and reflexivity of the multiplicati…