概率赋范空间中线性算子族的广义概率有界性

General Probability Boundedness of Linear Operators on PN-Spaces

本文提出了概率赋范空间中广义概率有界线性算子族概念,并证明了线性算子族的广义概率有界性与等度连续性及一致有界性是等价的。

This paper gives the concept of general probability boundedness of linear operators on the Menger-PN Spaces and studies the relation between equicontinunity and uniform boundedness.