Unbounded composition operators on Orlicz spaces
Functional Analysis
2022-11-16 v1 Operator Algebras
Abstract
In this paper we deal with unbounded composition operators defined in Orlicz spaces. Indeed, we provide some necessary and sufficient condition for densely definedness of composition operators on Orlicz spaces. Also, we will investigate the adjoint of densely defined composition operators and we give some equivalent conditions for it to be densely defined. In addition, we show that densely defined composition operator is continuous if and only if it is everywhere defined. Finally, we characterize densely defined continuous composition operators.
Cite
@article{arxiv.2211.07640,
title = {Unbounded composition operators on Orlicz spaces},
author = {M. Namdar Baboli and Y. Estaremi},
journal= {arXiv preprint arXiv:2211.07640},
year = {2022}
}
Comments
11 pages, comments are welcome