27 citations · 46 across the 23 of their papers we have counts for
29 papers
Sum of self-commutators of commuting operators
Sameer Chavan, Md. Ramiz Reza, Shanola S. Sequeira
It is well known that every hyponormal operator on a complex Hilbert space whose spectrum has planar Lebesgue measure zero is normal. In particular, every compact hyponormal operat…
Wold-type decomposition for left-invertible weighted shifts on a rootless directed tree
Sameer Chavan, Shailesh Trivedi
Let $S_{\lambdab}$ be a bounded left-invertible weighted shift on a rootless directed tree We address the question of when $S_{\lambdab}$ has Wold-typ…
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…
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…
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…
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…