most citedMultishifts on Directed Cartesian Product of Rooted Directed Trees

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

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5 papers

math.FA2023

Dirichlet-type spaces of the bidisc and Toral -isometries

Santu Bera, Sameer Chavan, Soumitra Ghara

We introduce and study Dirichlet-type spaces of the unit bidisc where are finite positive Borel measures on the unit circle. We sho…

math.FA2023

Convergence of power sequences of B-operators with applications to stability

Sameer Chavan, Zenon Jan Jabłoński, Il Bong Jung +1

The B-operators (abbreviation for Brownian-type operators) are upper triangular 2x2 block matrix operators that satisfy certain algebraic constraints. The purpose of this paper is…

math.FA2023

Lifting Brownian-type operators with subnormal entry

Sameer Chavan, Zenon Jan Jablonski, Il Bong Jung +1

In this paper, we study Brownian-type operators, which are upper triangular block matrix operators with entries satisfying some algebraic constraints. We establish a li…

math.FA2023

Bi-isometries reducing the hyper-ranges of the coordinates

Sameer Chavan, Md. Ramiz Reza

Let be a bi-isometry, that is, a pair of commuting isometries and on a complex Hilbert space By the von Neumann-Wold decomposition, the hyper…

math.FA20165 cited

Multishifts on Directed Cartesian Product of Rooted Directed Trees

Sameer Chavan, Deepak Kumar Pradhan, Shailesh Trivedi

We systematically develop the multivariable counterpart of the theory of weighted shifts on rooted directed trees. Capitalizing on the theory of product of directed graphs, we intr…