黑龙江科技学院学报2011，Vol.21Issue(2)：161-162,166,3.
一类线性算子半群的收敛性
Convergence of a kind of linear operator semigroup
摘要
Abstract
Aimed at enabling C0 semigroup sequences to converge to C0 semigroup, this paper discusses the convergence and operator series approximation of C0 semigroup using the relationship between operator semigroup and infinitesimal generator.In the space of Banach, the strong convergence of infinitesimal generator results in the strong convergence of the generated semigroup.Besides, using the definition of a bounded linear operator Ln, makes it possible to extend the conclusion to the general Banach space sequence, thus improving the convergence of semigroup in Banach space.关键词
C0半群/半群序列/无穷小生成元/收敛性/算子序列逼近/抽象柯西问题Key words
C0 semigroup/ semigroup sequence/ infinitesimal generator/ convergence/ sequence of approximation operators/abstract Cauchy problem分类
数理科学引用本文复制引用
禹晓红,宋晓秋,李玉霞..一类线性算子半群的收敛性[J].黑龙江科技学院学报,2011,21(2):161-162,166,3.基金项目
中央高校基本科研业务费专项资金资助项目(2010LKSX08) （2010LKSX08）
