S. Chavan

activity

20172025

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Showing 2023Show all

4 papers · 1 filter

math.FA2023

Dirichlet-type spaces of the bidisc and Toral $2$ -isometries

Santu Bera, Sameer Chavan, Soumitra Ghara

We introduce and study Dirichlet-type spaces $D (μ_{1}, μ_{2})$ of the unit bidisc $D^{2},$ where $μ_{1}, μ_{2}$ 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 $2 \times 2$ 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 $(S_{1}, S_{2})$ be a bi-isometry, that is, a pair of commuting isometries $S_{1}$ and $S_{2}$ on a complex Hilbert space $H .$ By the von Neumann-Wold decomposition, the hyper…

Dirichlet-type spaces of the bidisc and Toral 2-isometries

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

Lifting Brownian-type operators with subnormal entry

Bi-isometries reducing the hyper-ranges of the coordinates

Dirichlet-type spaces of the bidisc and Toral $2$ -isometries