局部有界M-PN空间中(全)连续线性算子空间的完备性

On the Completion of Linear (Complete )Continuous Opertor Spaces in Locally BoundedProbabitistic Normed Spaces

本文利用轮廓函数所建立的拓扑结构,讨论局部有界M—PN空间内的连续线性算子空间与全连续算子空间的完备性,此外还讨论了局部有界S—PN空间内的强有界线性算予的扩张。

Abstract This paper studies the Completion of linear (Complete) Continuous operator spaces in locally bounded Meager probabilistic normed Spaces which have Constituted TopoJogical constitution througfi profile function