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math.FA2024
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}^n…
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…