Unbounded Composition Operators on Orliczspaces

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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 andwe give some equivalent conditions for it to be densely defined. In addition, weshow that densely defined composition operator Cφ is continuous if and onlyif it is everywhere defined. Finally, we characterize densely defined continuouscomposition operators. 2020 Mathematics Subject Classification. 47B25, 47B38.

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License: CC-BY-4.0