摘要
本文证明:若强对偶多重Hilbert空间上的(C_0,1)-半群族的无穷小生成算子族是г-稳定的,则该半群族生成г-稳定的发展系.基于此,本文还得出了关于(C_0,1)-发展系的一个摄动定理.
It is proved that the development system generated by a family of(C_0,1)-semigroupsis г-stable if the family of gnerators of these(C_0,1)-semigroups is also г-stable, where these(C_0 ,1)-semigroups are defined on a fixed strongly dual space of some multi-Hilbert space. Usingthis result we also get a perturbation theorem of the(C_0,1)-development system.
出处
《数学学报(中文版)》
SCIE
CSCD
北大核心
1995年第4期490-497,共8页
Acta Mathematica Sinica:Chinese Series
基金
中国科学院应用数学研究所概率青年实验室资助