5 papers
The Cauchy dual subnormality problem for cyclic -isometries
Akash Anand, Sameer Chavan, Zenon Jan Jabłoński +1
The Cauchy dual subnormality problem asks whether the Cauchy dual operator of a -isometry is subnormal. Recently this problem has been solved in the negative. Here we show that…
Dirichlet-type spaces on the unit ball and joint 2-isometries
Sameer Chavan, Rajeev Gupta, Md. Ramiz Reza
We obtain a formula that relates the spherical moments of the multiplication tuple on a Dirichlet-type space to a complex moment problem in several variables. This can be seen as t…
Taylor spectrum approach to Brownian-type operators with quasinormal entry
Sameer Chavan, Zenon Jan Jabłoński, Il Bong Jung +1
In this paper, we introduce operators that are represented by upper triangular block matrices whose entries satisfy some algebraic constraints. We call them Brownian-ty…
Classification of Drury-Arveson-type Hilbert modules associated with certain directed graphs
Sameer Chavan, Deepak Kumar Pradhan, Shailesh Trivedi
Given a directed Cartesian product of locally finite, leafless, rooted directed trees of finite joint branching index, one may ass…
Dirichlet Spaces Associated With Locally Finite Rooted Directed Trees
Sameer Chavan, Deepak Kumar Pradhan, Shailesh Trivedi
Let be a leafless, locally finite rooted directed tree. We associate with a one parameter family of Dirichlet spaces $\mathscr H_q~(q \geq…