8 citations · 24 across the 19 of their papers we have counts for
27 papers
Isometric dilations and Beurling quotient modules
B. Krishna Das, Shubham Rastogi
In \cite{Dan-Guo}, the authors provided a characterization of all sequences of doubly commuting pure contractions that have the sequence the sequence of the multipl…
Isometric dilation and Sarason's commutant lifting theorem in several variables
B. Krishna Das, Samir Panja
The article deals with isometric dilation and commutant lifting for a class of -tuples of commuting contractions. We show that operator tuples in the class dilate t…
Toeplitz operators and Hilbert modules on the symmetrized polydisc
Tirthankar Bhattacharyya, B. Krishna Das, Haripada Sau
When is the collection of -Toeplitz operators with respect to a tuple of commuting bounded operators , which has the symmetri…
$\clw$-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…
Distinguished varieties and the Nevanlinna-Pick interpolation problem on the symmetrized bidisk
B. Krishna Das, Poornendu Kumar, Haripada Sau
Starting with a solvable Nevanlinna-Pick interpolation problem with the initial data coming from the symmetrized bidisk, this paper studies the corresponding uniqueness set, i.e.,…
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…