3 papers
math.FA2022
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:…
math.FA2022
On -commuting co-extensions and -commutant lifting
Bappa Bisai, Sourav Pal, Prajakta Sahasrabuddhe
Consider a nonzero contraction and a bounded operator satisfying for a complex number . There are some interesting results in the literature on -commuting di…
math.FA2019
Structure theorems for operators associated with two domains related to -synthesis
Bappa Bisai, Sourav Pal
A commuting tuple of operators defined on a Hilbert space , for which the closed symmetrized polydisc \[ Γ_n = \left\{ \left(\sum_{i=1}^…