1 citations · 2 across the 6 of their papers we have counts for
6 papers
Wold-type decomposition and Beurling-Type Theorem for Covariant Representations
Dimple Saini, Azad Rohilla
Using operator inequalities, we study a Wold-type decomposition of covariant representations. Building on this decomposition, we prove a Beurling-type theorem showing that every no…
Completely contractive covariant representations of product system over
Dimple Saini
A pure completely contractive covariant representations of a -correspondence dilate to a pure isometric covariant representations due to Muhly-Solel. More specifically, we are…
Ando type dilation for completely contractive covariant representations
Azad Rohilla, Dimple Saini
The central objective of this article is to investigate such isometric covariant representations that serve as dilations of completely contractive covariant representations.
Powers and roots of partial isometric covariant representations
Dimple Saini, Harsh Trivedi, Shankar Veerabathiran
Isometric covariant representations play an important role in the study of Cuntz-Pimsner algebras. In this article, we study partial isometric covariant representations and explore…
Block quantum dynamical semigroups of completely positive definite kernels
Santanu Dey, Dimple Saini, Harsh Trivedi
Kolmogorov decomposition for a given completely positive definite kernel is a generalization of Paschke's GNS construction for the completely positive map. Using Kolmogorov decompo…
A characterization of invariant subspaces for isometric representations of product system over
Dimple Saini, Harsh Trivedi, Shankar Veerabathiran
Using the Wold-von Neumann decomposition for the isometric covariant representations due to Muhly and Solel, we prove an explicit representation of the commutant of a doubly commut…