Unbounded composition operators via inductive limits: cosubnormals with matrical symbols

TL;DR

This paper demonstrates that a class of unbounded composition operators with matrical symbols in L^2-spaces are cosubnormal, using inductive techniques to establish their properties.

Contribution

It introduces a novel inductive approach to prove cosubnormality of unbounded composition operators with matrical symbols.

Findings

Unbounded composition operators with matrical symbols are cosubnormal.

Inductive techniques effectively establish operator properties.

The results extend understanding of operator classes in functional analysis.

Abstract

We prove, by use of inductive techniques, that assorted unbounded composition operators in $L^2$-spaces with matrical symbols are cosubnormal.