F＊空间上点态半有界准齐性算子族的共鸣定理

Resonance Theorems for Family of Pointwise Semi-bounded and Quasi-homogeneous Operators in F~* Spaces

在F＊空间上建立点态半有界和非无界准齐性算子族的共鸣定理．作为其推论得到了Menger概率赋范空间中点态概率半有界和概率非无界准齐性算子族的共鸣定理，改进并推广了某些已有的结果．

In this paper,we establish some resonance theorems for families of pointwise semi-bounded(non-unbounded) and quasi-homogeneous operators in F~* spaces.As applications,we obtain some resonance theorems for families of pointwise probabilistic semi-bounded(probabilistic non-unbounded) and quasi-homogeneous operators in Menger probabilistic normed spaces.Our results improve and extend several known results.