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math.FA2026
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…
math.FA2026
Noncommutative commutant lifting, interpolation, and shift-invariant subspaces
Sibaprasad Barik, Samir Panja
We establish a Sarason-type commutant lifting theorem in the framework of noncommutative Drury-Arveson space and apply it to solve the noncommutative Nevanlinna-Pick interpolation…