3 citations · 3 across the 3 of their papers we have counts for
3 papers
math.FA2024
Herglotz representation for operator-valued function on a set associated with test functions
Mainak Bhowmik, Poornendu Kumar
The Herglotz representation theorem for holomorphic functions with non-negative real part is a fundamental result in the theory of holomorphic functions. In this paper, we reinterp…
math.FA2024★ 3 cited
Factorization of functions in the Schur-Agler class related to test functions
Mainak Bhowmik, Poornendu Kumar
We provide necessary and sufficient conditions for operator-valued functions on arbitrary sets associated with a collection of test functions to have factorizations in several situ…
math.FA2024
The Bishop-Phelps-Bollobas property for certain Banach spaces
Tirthankar Bhattacharyya, Mainak Bhowmik, Kousik Dhara
Let be a complex Banach space. We prove that if is an extremally disconnected compact Hausdorff topological space, then the pair satisfies the Bishop-Phelps-Bol…