1 citations · 1 across the 6 of their papers we have counts for
8 papers
Doubly commuting invariant and co-invariant subspaces
Sibaprasad Barik, Shubham Jain, Samir Panja
Given complex separable Hilbert spaces and bounded operators on , for , we consider the tensor product space $\mathfrak{H}:=\math…
Noncommutative commutant lifting, interpolation, and shift-invariant subspaces
Sibaprasad Barik, Samir Panja
We establish a Sarason-type commutant lifting theorem in the framework of noncommutative Drury-Arveson space and apply it to solve the noncommutative Nevanlinna-Pick interpolation…
Isometric Dilations for Representations of Product Systems
Sibaprasad Barik, M. Bhattacharjee, B. Solel
We discuss representations of product systems (of -correspondences) over the semigroup and show that, under certain pureness and Szego positivity conditions,…
A generalization of Ando's dilation, and isometric dilations for a class of tuples of -commuting contractions
Sibaprasad Barik, Bappa Bisai
Given a bounded operator on a Hilbert space , a pair of bounded operators on is said to be -commuting if one of the following holds:…
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…
Isometric dilations and von Neumann inequality for finite rank commuting contractions
Sibaprasad Barik, B. Krishna Das, Jaydeb Sarkar
Motivated by Ball, Li, Timotin and Trent's Schur-Agler class version of commutant lifting theorem, we introduce a class, denoted by , of -tuples of c…
Isometric dilations and von Neumann inequality for a class of tuples in the polydisc
Sibaprasad Barik, B. Krishna Das, Kalpesh J. Haria +1
The celebrated Sz.-Nagy and Foias and Ando theorems state that a single contraction, or a pair of commuting contractions, acting on a Hilbert space always possesses isometric dilat…