3 papers
math.FA2024
Two problems on submodules of
Ramlal Debnath, Srijan Sarkar
Given any shift-invariant closed subspace (aka submodule) of the Hardy space over the unit polydisc (where ), let $R_{z_j}:=M_{z_j}|_{\m…
math.FA2024
Unitary parts of Toeplitz operators with operator-valued symbols
E. K. Narayanan, Srijan Sarkar
Motivated by the canonical decomposition of contractions on Hilbert spaces, we investigate when contractive Toeplitz operators on vector-valued Hardy spaces on the unit disc admit…
math.FA2021
Pure contractive multipliers of some reproducing kernel Hilbert spaces and applications
Srijan Sarkar
A contraction on a Hilbert space is said to be pure if the sequence converges to in the strong operator topology. In this article…