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math.CV2026
Fejér-Rogosinski theorem for the Neil algebra
Nilanjan Das, Jaydeb Sarkar
Partial sums of the Taylor expansions of functions from the Neil algebra are uniformly bounded by their uniform norms on the ball of radius centered at the origin, where de…
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…