摘要
给出一类和型及和型积分算子的构造法，对ｎ元向量值连续函数建立了这类算子的逼近定理，并给出了逼近的量化估计。特别，由所得的主要结果给出ｎ元 Ｃ０类算子半群的表示公式。
A method of constructing a class of sum-type and sum-integral type opera- tors is introduced. For n-dimensional vector-valued functions, approximation and relative estimation theorems of these operators are given. The author also uses the main results to construct representation formulas of the n-dimensional semi-groups of operators of (C0) class.
出处
《大连理工大学学报》
EI
CAS
CSCD
北大核心
1989年第4期381-388,共8页
Journal of Dalian University of Technology
关键词
和型积分算子
向量值函数
算子逼近
semi-group of operators of (C0) class
vector-valued function
Bochner integral
approximation by operators/sum-type operator
sum-integral type operator
