collaborators

4 papers

math.FA2026

Foguel-type operators similar to contractions

Nilanjan Das, Soma Das, Jaydeb Sarkar

Pisier's celebrated counterexample to Halmos's similarity-to-contractions problem was based on upper triangular block operator matrices involving three classical opera…

math.FA2025

Paired and Toeplitz + Hankel operators

Nilanjan Das, Soma Das, Jaydeb Sarkar

We present complete classifications of Toeplitz + Hankel operators on vector-valued Hardy spaces and classify paired operators on . We also study the latter class…

math.FA2025

Invariant subspaces of Brownian shifts on vector-valued Hardy spaces

Nilanjan Das, Soma Das, Jaydeb Sarkar

We characterize invariant subspaces of Brownian shifts on vector-valued Hardy spaces. We also solve the unitary equivalence problem for the invariant subspaces of these shifts.

math.PR2025

Invariant subspaces and the -property of Brownian Shifts

Nilanjan Das, Soma Das, Jaydeb Sarkar

We consider the restriction of Brownian shifts to their invariant subspaces and classify when they are unitarily equivalent. Additionally, we prove an asymptotic property stating t…