Nilanjan Das

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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 $2 \times 2$ 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 $L^{2} (T)$ . 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.