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math.FA2026
Invariant subspaces of Jordan blocks of
Sneha B, Jaydeb Sarkar, Michio Seto
It is known that invariant subspaces of classical Jordan blocks of the Hardy space over the open unit disc are described by factorizations of inner functions. In the polydisc setti…
math.FA2026
Hyponormal contractions and analytic shifts
Sneha B, Neeru Bala, Jaydeb Sarkar
Hyponormal operators are known to be among the most difficult operators to analyze. In this work, we focus on two finite types of hyponormal operators. The first type becomes analy…
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…