Saee A. Joshi

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math.FA2025

An example of a cyclic analytic $2$ -isometry with defect operator of rank $3$ , whose Cauchy dual is not subnormal

Saee A. Joshi, Geetanjali M. Phatak, Vinayak M. Sholapurkar

The Cauchy dual subnormality problem (CDSP, for short) asks whether the Cauchy dual of a $2 -$ isometry is subnormal. In this article, we provide a counter-example to CDSP by constru…

math.FA2024

Completely hyperexpansive operators with finite rank defect operator and de Branges-Rovnyak spaces

Saee A. Joshi, Vinayak M. Sholapurkar

The process of identifying a Dirichlet-type space $D (I^¼)$ for a positive, Borel measure $I^¼$ , supported on the unit circle $T,$ with a de Branges-Rovnyak space was initiate…

An example of a cyclic analytic 2-isometry with defect operator of rank 3, whose Cauchy dual is not subnormal

Completely hyperexpansive operators with finite rank defect operator and de Branges-Rovnyak spaces

An example of a cyclic analytic $2$ -isometry with defect operator of rank $3$ , whose Cauchy dual is not subnormal