Self-adjoint and co-isometry composition and weighted composition operators on Fock-type spaces

TL;DR

This paper characterizes when composition and weighted composition operators are self-adjoint or co-isometries on Fock-type spaces, providing insights into their structural properties and operator classifications.

Contribution

It offers new characterizations for the adjoints and co-isometry conditions of composition and weighted composition operators on Fock-type spaces.

Findings

Characterization of adjoint operators as composition and weighted composition operators.

Conditions for co-isometry of these operators on Fock-type spaces.

Structural insights into operator properties on Fock-type spaces.

Abstract

In this paper we obtain characterizations for adjoint of a composition and weighted composition operator to be composition and weighted composition operator on $F_{\psi}^2,$ respectively. We study the co-isometry composition and weighted composition operators on $F_{\psi}^2.$