Banach空间上强混合的广义C0-半群

摘要

On the basis of traditional strongly mixing C0-semigroup,the paper gives the definition of the strongly mixing generalized C0-semigroup,and uses its basic properties,it is shown that every separable infinite dimensional complex Banach space admits a strongly mixing generalized C0-semigroup.%在传统强混合C0-半群的基础上,给出了广义强混合C0-半群的定义,并且利用广义C0-半群的生成元的一些性质,证明了每个可分无限维复Banach空间上都存在一个强混合的广义C0-半群。