几个随机算子定理

Some Theorems of Random Operators

得到 Banach空间中随机隐函数存在定理、随机反函数定理和随机 Hahn- Banach定理 ,它们是著名隐函数定理、反函数定理和 Hahn- Banach控制延拓定理的随机化推广 ,这些定理在随机算子理论中将起重要作用 .

We now obtained the random implict function theorem, random inverse function theorem and random Hahn-Banach Contral theorem on Banach space. They are random analogues of famous the implict function theorem, inverse function theorem and Hahn-Banach control theorem. They will produce impartant role in random operator theory.