Shailesh Trivedi

activity

20172021

collaborators

6 papers

math.FA2021

Bounded point evaluation for operators with the wandering subspace property

Shailesh Trivedi

We extend and study the notion of bounded point evaluation introduced by Williams for a cyclic operator to the class of operators with the wandering subspace property. We character…

math.FA2019

Unitary equivalence of operator-valued multishifts

Rajeev Gupta, Surjit Kumar, Shailesh Trivedi

We systematically study various aspects of operator-valued multishifts. Beginning with basic properties, we show that the class of multishifts on the directed Cartesian product of…

math.FA2018

Analytic $m$ -isometries without the wandering subspace property

Akash Anand, Sameer Chavan, Shailesh Trivedi

The wandering subspace problem for an analytic norm-increasing $m$ -isometry $T$ on a Hilbert space $H$ asks whether every $T$ -invariant subspace of $H$ can be gen…

math.FA2018

Von Neumann's inequality for commuting operator-valued multishifts

Rajeev Gupta, Surjit Kumar, Shailesh Trivedi

Recently, Hartz proved that every commuting contractive classical multishift with non-zero weights satisfies the matrix-version of von Neumann's inequality. We show that this resul…

math.FA2017

Classification of Drury-Arveson-type Hilbert modules associated with certain directed graphs

Sameer Chavan, Deepak Kumar Pradhan, Shailesh Trivedi

Given a directed Cartesian product $T$ of locally finite, leafless, rooted directed trees $T_{1}, \dots, T_{d}$ of finite joint branching index, one may ass…

math.CV2017

Dirichlet Spaces Associated With Locally Finite Rooted Directed Trees