摘要
在本文中,我们讨论了Banach空间中的一类算子矩阵,证明了此类算子矩阵为一强连续有界线性算子半群的无穷小生成元,并给出了它的一个应用。
In this paper, we discuss a kind of operator matrix in Banach spaces, and show that operator matrix of this kind is the infinitesimal generator of a strongly continuous semigroup of bounded linear operators. Moreover, we give two applications of this result.
基金
国家自然科学基金
云南省应用基础研究基金(青年)资助课题
关键词
BANACH空间
线性算子
强连续半群
Banach space
Linear operator
Strongly continuous semigroup
Infinitesimal generator
Semilinear.
