Cauchy dual Subnormality of extensions of $m$-isometric composition operators on directed graphs

V. Devadas; T. Prasad; E. Shine Lal

Cauchy dual Subnormality of extensions of $m$-isometric composition operators on directed graphs

Functional Analysis 2026-07-06 v1

Authors: V. Devadas , T. Prasad , E. Shine Lal

Abstract

In this paper, we discuss the analyticity, $\Delta_{C_\phi}$ - regularity, kernel condition and subnormality of Cauchy dual of $k$ -quasi- $m$ -isometric composition operators on directed graphs with one circuit and multiple branching vertices.

Keywords

Cauchy dual subnormality composition operators directed graphs m-isometric k-quasi-m-isometric

Cite

@article{arxiv.2607.04922,
  title  = {Cauchy dual Subnormality of extensions of $m$-isometric composition operators on directed graphs},
  author = {V. Devadas and T. Prasad and E. Shine Lal},
  journal= {arXiv preprint arXiv:2607.04922},
  year   = {2026}
}

Comments

Preliminary Draft, 13 pages