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$\clw$-hypercontractions and their model
Monojit Bhattacharjee, B. Krishna Das, Ramlal Debnath +1
We revisit the study of -hypercontractions corresponding to a single weight sequence introduced by Olofsson in \cite{O} and find an analogue of Nagy-Foias c…
Beurling quotient modules on the polydisc
Monojit Bhattacharjee, B. Krishna Das, Ramlal Debnath +1
Let denote the Hardy space over the polydisc , . A closed subspace is called Beurling quotient…
Commuting row contractions with polynomial characteristic functions
Monojit Bhattacharjee, Kalpesh J. Haria, Jaydeb Sarkar
A characteristic function is a special operator-valued analytic function defined on the open unit ball of associated with an -tuple of commuting row contraction o…
Commutant lifting in several variables
Sibaprasad Barik, Monojit Bhattacharjee, B. Krishna Das
In this article we study commutant lifting, more generally intertwining lifting, for different reproducing kernel Hilbert spaces over two domains in , namely the unit…
Factors of Hypercontractions
Monojit Bhattacharjee, B. Krishna Das
In this article, we study a class of contractive factors of -hypercontractions for . We find a characterization of such factors and this is achieved by finding…
Hypercontractions and factorizations of multipliers in one and several variables
Monojit Bhattacharjee, B. Krishna Das, Jaydeb Sarkar
We introduce the notion of characteristic functions for commuting tuples of hypercontractions on Hilbert spaces, as a generalization of the notion of Sz.-Nagy and Foias characteris…