6 papers
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:…
Admissible fundamental operators associated with two domains related to -synthesis
Bappa Bisai
In this article, we discuss necessary condition of conditional dilation for both completely non-unitary (c.n.u) -contractions and c.n.u -contractions. Consider tw…
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…
A Nagy-Foias program for a c.n.u. -contraction
Bappa Bisai, Sourav Pal
A tuple of commuting Hilbert space operators having the closed symmetrized polydisc \[ Γ_n = \left\{ \left(\sum_{i=1}^{n}z_i, \sum\limits_{1\leq i<j\leq…
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}^…
Automorphisms and the fundamental operators associated with the symmetrized tridisc
Bappa Bisai, Sourav Pal
The automorphisms of the symmetrized polydisc are well-known and are given in the coordinates of the polydisc in \cite{E:Z}. We find an explicit formula for the autom…