赋准范空间上半连续算子族的一致有界性

The Uniform Boundness of the Upper Semi-continuous Operator Family in Quasi-normed Space

首先在第二纲的赋准范空间上给出了在某一点"上半连续"的广义按范γ 拟次加算子族的一致有界性.然后推出了在第二纲的赋准范空间上,关于按范γ 拟次加算子列的极限的几个性质.

In quasinormed space of secondary category,the uniform boundness is proved for generalized normed γquasisubadditive operator family being 'upper semicontinuous' at a certain point. Then several properties of the limit of normed γquasisubadditive sequence of operator in quasinormed space of second category are derived.