4 papers · 1 filter
Submodules in polydomains and noncommutative varieties
Susmita Das, Deepak Kumar Pradhan, Jaydeb Sarkar
Tensor product of Fock spaces is analogous to the Hardy space over the unit polydisc. This plays an important role in the development of noncommutative operator theory and function…
Commutant lifting and Nevanlinna-Pick interpolation in several variables
Deepak K. D., Deepak Pradhan, Jaydeb Sarkar +1
This paper concerns a commutant lifting theorem and a Nevanlinna-Pick type interpolation result in the setting of multipliers from vector-valued Drury-Arveson space to a large clas…
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…
Classification of Drury-Arveson-type Hilbert modules associated with certain directed graphs
Sameer Chavan, Deepak Kumar Pradhan, Shailesh Trivedi
Given a directed Cartesian product of locally finite, leafless, rooted directed trees of finite joint branching index, one may ass…