1 citations · 1 across the 8 of their papers we have counts for
8 papers
Classification and dilation for -commuting scalar matrices
Sourav Pal, Prajakta Sahasrabuddhe, Nitin Tomar
A tuple of operators on a Hilbert space is said to be \textit{-commuting with} or simply -\textit{commuting} if ther…
Theory of -commuting contractions-II: Regular dilation, Brehmer's positivity and von Neumann's inequality
Sourav Pal, Prajakta Sahasrabuddhe, Nitin Tomar
It is well-known that a commuting family of contractions possesses a regular unitary dilation if and only if it satisfies Brehmer's positivity condition. We extend this theorem to…
Spectral radii for subsets of Hilbert -modules and spectral properties of positive maps
B. V. Rajarama Bhat, Biswarup Saha, Prajakta Sahasrabuddhe
The notions of joint and outer spectral radii are extended to the setting of Hilbert -bimodules. A Rota-Strang type characterisation is proved for the joint spectral radius. I…
Theory of q-commuting contractions : joint reducing subspaces and orthogonal decompositions
Sourav Pal, Prajakta Sahasrabuddhe, Nitin Tomar
In the literature, we have several results associated with canonical decomposition of commuting contractions. In this paper, we generalize a few of these results to -commuting c…
Lifting -commuting and -intertwining operators
Sourav Pal, Prajakta Sahasrabuddhe
There are several proofs of the classical commutant lifting and intertwining lifting theorems in the literature. In this article, we present analogous proofs to a few -commuting…
Minimal unitary dilations for commuting contractions
Sourav Pal, Prajakta Sahasrabuddhe
For commuting contractions acting on a Hilbert space with , we show that dilates to commuting isometries $(V_…