指数有界双参数n阶α次积分C半群的谱映射定理

Spectral Mapping Theorems for Exponentially Bounded Two-parameter n-th Orderα-times Integration C-semigroups

研究了指数有界双参数n阶α次积分C半群的谱映射定理。利用经典算子半群理论中的方法和双参数n阶α次积分C半群的概念,讨论指数有界双参数n阶α次积分C半群与其次生成元的谱的相关性质。

The spectral mapping theorem of exponentially bounded two-parameter n-th orderα-times integration C-semigroups is studied,by using the method of classical operator semigroup theory and the concept of two-parame⁃ter n-th orderα-times integration C-semigroups,the related properties of exponentially bounded two-parameter nth orderα-times integration C-semigroups and the spectrum of sub-generator are discussed.