The adjoint and the composition of random operators on a hilbert space

Abstract

In this paper, the adjoint and the composition of random operators are defined in a natural fashion. Unlike deterministic operators, the adjoint and the composition need not exist in general. Various conditions ensuring their existence as well as many examples are provide

Keywords:

• Random operators
• the random adjoint operator
• the composition of random operators
• (A,e)applicable random variables

^*This research is supported in part by the National Basic Research Program in Natural Sciences, Vietnam

^*This research is supported in part by the National Basic Research Program in Natural Sciences, Vietnam

Notes

^*This research is supported in part by the National Basic Research Program in Natural Sciences, Vietnam