18 citations · 19 across the 8 of their papers we have counts for
5 papers · 1 filter
Doubly commuting invariant and co-invariant subspaces
Sibaprasad Barik, Shubham Jain, Samir Panja
Given complex separable Hilbert spaces and bounded operators on , for , we consider the tensor product space $\mathfrak{H}:=\math…
Pairs of commuting isometries via new core operator
Shubham Jain
We study commuting isometric pairs that admit a factorization of the form for some isometry . To investigate this class, we introduce the notion o…
Brown-Halmos type characterization for the tetrablock
Shubham Jain, Surjit Kumar, Milan Kumar Mal +1
In this note, we obtain a Brown-Halmos type characterization for Toeplitz operators on the Hardy space associated with the tetrablock. As an application, we show that the zero oper…
Function Theory on Tetrablock: Realization, Interpolation, Extension and Toeplitz Corona Theorem
Shubham Jain, Surjit Kumar, Milan Kumar Mal +1
We introduce a Schur-Agler type class associated with the tetrablock and establish a realization theorem for this class. Furthermore, we provide a tetrablock analog of the interpol…
Toeplitz operators on the -dimensional Hartogs triangle
Shubham Jain, paramita pramanick
We formally introduce and study Toeplitz operators on the Hardy space of the -dimensional Hartogs triangle. We find a precise relation between these operators and the Toeplitz o…