积分C半群的算子序列逼近问题

A problem about the sequence approximation of integral operator C-semigroup

研究了积分C半群的算子序列逼近问题,在一定条件下,借助积分C半群的生成元序列的强收敛性得到积分C半群序列的强收敛性.此外,通过定义有界线性算子Ln的方法,将这一结论进一步推广到Banach空间一般的积分C半群的序列上.

The paper studies the sequence approximation of integral C-semigroup.Under certain conditions,via the strong convergence of generators of integral C-semigroups,the strong convergence of the sequence of integral C-semigroups is finally worked out.Besides,through the definition of bounded linear operator Ln,the study extends the conclusion further to the sequence of general integral C-semigroups in Banach space.