1 citations · 1 across the 5 of their papers we have counts for
9 papers · 1 filter
$\clw$-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…
Isometric dilations of commuting contractions and Brehmer positivity
Sibaprasad Barik, B. Krishna Das
It is well-known that an -tuple of commuting contractions does not posses an isometric dilation, in general. Considering a class of -tuple of commuting contraction…
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…
Toeplitz operators and pseudo-extensions
Tirthankar Bhattacharyya, B. Krishna Das, Haripada Sau
There are three main results in this paper. First, we find an easily computable and simple condition which is necessary and sufficient for a commuting tuple of contractions to poss…
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…