Geetanjali M. Phatak

collaborators

2 papers

math.FA2026

A solution to the Cauchy dual subnormality problem for a cyclic analytic $2$ -isometry with defect operator of rank two

Mandar Khasnis, Geetanjali Phatak, Vinayak Sholapurkar

The Cauchy dual subnormality problem (for short, CDSP) asks whether the Cauchy dual of a $2$ -isometry is subnormal. In this article, we prove that if $I^¼$ is a sum of unit point ma…

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…

A solution to the Cauchy dual subnormality problem for a cyclic analytic 2-isometry with defect operator of rank two

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

A solution to the Cauchy dual subnormality problem for a cyclic analytic $2$ -isometry with defect operator of rank two

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