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math.FA2026
Finite-rank commutators of projections onto shift-invariant subspaces
Rounak Biswas, Srijan Sarkar
In this article, using Halmos' two projections theorem, we completely characterize finite-rank commutators of orthogonal projections onto shift-invariant subspaces $ϕ_1 H^2(\mathbb…
math.FA2025
On products and partial isometry of Toeplitz operators with operator-valued symbols
Srijan Sarkar
We solve the following problems associated with Toeplitz operators on Hilbert space-valued Hardy spaces over the unit polydisc $\mathbb{D}^…
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…