论文标题
Orlicz空间上的无界构图操作员
Unbounded composition operators on Orlicz spaces
论文作者
论文摘要
在本文中，我们处理在Orlicz空间中定义的无界构图操作员。确实，我们为Orlicz空间上的组成操作员的密集定义提供了一些必要的条件。此外，我们将研究密集定义的组成算子的伴随，并给出一些等效的条件，以密集定义它。此外，我们表明，当且仅当它到处定义时，密集定义的组成算子是连续的。最后，我们表征了密集定义的连续构图运算符。
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.
