5 citations · 18 across the 9 of their papers we have counts for
9 papers
Doubly Commuting Semigroups of Isometries
C. H. Namitha, S. Sundar, Shankar Veerabathiran
In this paper, we discuss the structure of doubly commuting semigroups of isometries. We record a new proof of Cooper's theorem in the Hilbert module setting. We discuss the Fell t…
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…
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…
Beurling quotient subspaces for covariant representations of product systems
Azad Rohilla, Harsh Trivedi, Shankar Veerabathiran
We characterize Beurling quotient subspaces for pure doubly commuting isometric representations of product systems. As a consequence, we derive a concrete regular dilation theorem…
Regular covariant representations and their Wold-type decomposition
Azad Rohilla, Harsh Trivedi, Shankar Veerabathiran
Olofsson introduced a growth condition regarding elements of an orbit for an expansive operator and generalized Richter's wandering subspace theorem. Later on, using the Moore-Penr…
Berger-Coburn-Lebow representation for pure isometric representations of product system over
Dimple Saini, Harsh Trivedi, Shankar Veerabathiran
We obtain Berger-Coburn-Lebow (BCL)-representation for pure isometric covariant representation of product system over . Then the corresponding complete set of (join…
Generating wandering subspaces for doubly commuting covariant representations
Harsh Trivedi, Shankar Veerabathiran
We obtain a Halmos-Richter-type wandering subspace theorem for covariant representations of C*-correspondences. Further the notion of Cauchy dual and a version of Shimorin's Wold-t…
Doubly commuting invariant subspaces for representations of product systems of -correspondences
Harsh Trivedi, Shankar Veerabathiran
We obtain a Shimorin-Wold-type decomposition for a doubly commuting covariant representation of a product system of -correspondences. This extends a recent Wold-type decomposi…
Covariant representations of subproduct systems: Invariant subspaces and curvature
Jaydeb Sarkar, Harsh Trivedi, Shankar Veerabathiran
Let be a standard subproduct system of -correspondences over a -algebra Assume to be a pure c…