H. Trivedi

activity

20142023

most citedGenerating wandering subspaces for doubly commuting covariant representations

5 citations · 20 across the 12 of their papers we have counts for

collaborators

12 papers

math.OA2023★ 1 cited

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…

math.OA2022★ 4 cited

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…

math.OA2022★ 1 cited

Berger-Coburn-Lebow representation for pure isometric representations of product system over $N_{0}^{2}$

Dimple Saini, Harsh Trivedi, Shankar Veerabathiran

We obtain Berger-Coburn-Lebow (BCL)-representation for pure isometric covariant representation of product system over $N_{0}^{2}$ . Then the corresponding complete set of (join…

math.OA2019★ 5 cited

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…

math.OA2019★ 4 cited

Doubly commuting invariant subspaces for representations of product systems of $C^{*}$ -correspondences

Harsh Trivedi, Shankar Veerabathiran

We obtain a Shimorin-Wold-type decomposition for a doubly commuting covariant representation of a product system of $C^{*}$ -correspondences. This extends a recent Wold-type decomposi…

math.FA2017

A simple proof of the fixed point theorem in $C^{*}$ -algebra valued metric space

Harsh Trivedi

We obtain a fundamental inequality for a contraction with respect to a $C^{*}$ -algebra valued metric space. As an application of this inequality a simple proof is given for the fixed…

math.OA2016★ 1 cited

Covariant representations of subproduct systems: Invariant subspaces and curvature

Jaydeb Sarkar, Harsh Trivedi, Shankar Veerabathiran

Let $X = (X (n))_{n \in Z_{+}}$ be a standard subproduct system of $C^{*}$ -correspondences over a $C^{*}$ -algebra $M .$ Assume $T = (T_{n})_{n \in Z_{+}}$ to be a pure c…

math.OA2016

Rokhlin Property for Group Actions on Hilbert $C^{*}$ -modules

Santanu Dey, Hiroyuki Osaka, Harsh Trivedi

We introduce Rokhlin properties for certain discrete group actions on $C^{*}$ -correspondences as well as on Hilbert bimodules and analyze them. It turns out that the group actions on…

math.OA2016★ 1 cited

Bures distance and transition probability for $α$ -CPD-kernels

Santanu Dey, Harsh Trivedi

If the symmetry (fixed invertible self adjoint map) of Krein spaces is replaced by a fixed unitary, then we obtain the notion of S-spaces which was introduced by Szafraniec. Assume…

math.OA2015★ 1 cited

KSGNS construction for $τ$ -maps on S-modules and $K$ -families

Santanu Dey, Harsh Trivedi

We introduce S-modules, generalizing the notion of Krein $C^{*}$ -modules, where a fixed unitary replaces the symmetry of Krein $C^{*}$ -modules. The representation theory on S-modules i…

math.OA2014

A covariant Stinespring type theorem for $τ$ -maps

Harsh Trivedi

Let $τ$ be a linear map from a unital $C^{*}$ -algebra $\CMcal A$ to a von Neumann algebra $\mathematical B$ and let $\CMcal C$ be a unital $C^{*}$ -algebra. A map $T$ from a Hilbert $\C…

math.OA2014★ 2 cited

$K$ -families and CPD-H-extendable families

Santanu Dey, Harsh Trivedi

We introduce, for any set $S$ , the concept of $K$ -family between two Hilbert $C^{*}$ -modules over two $C^{*}$ -algebras, for a given completely positive definite (CPD-) kerne…

Beurling quotient subspaces for covariant representations of product systems

Regular covariant representations and their Wold-type decomposition

Berger-Coburn-Lebow representation for pure isometric representations of product system over N02​

Generating wandering subspaces for doubly commuting covariant representations

Doubly commuting invariant subspaces for representations of product systems of C∗-correspondences

A simple proof of the fixed point theorem in C∗-algebra valued metric space

Covariant representations of subproduct systems: Invariant subspaces and curvature

Rokhlin Property for Group Actions on Hilbert C∗-modules

Bures distance and transition probability for α-CPD-kernels

KSGNS construction for τ-maps on S-modules and K-families

A covariant Stinespring type theorem for τ-maps

K-families and CPD-H-extendable families

Berger-Coburn-Lebow representation for pure isometric representations of product system over $N_{0}^{2}$

Doubly commuting invariant subspaces for representations of product systems of $C^{*}$ -correspondences

A simple proof of the fixed point theorem in $C^{*}$ -algebra valued metric space

Rokhlin Property for Group Actions on Hilbert $C^{*}$ -modules

Bures distance and transition probability for $α$ -CPD-kernels

KSGNS construction for $τ$ -maps on S-modules and $K$ -families

A covariant Stinespring type theorem for $τ$ -maps

$K$ -families and CPD-H-extendable families