摘要
对向量格Rn 到Rm 的保不交算子进行矩阵刻画 ,即矩阵的每行至多有一个元素不为零 .并把此结果推广到了经典Banach格c0 和lp(1≤p <∞ )到l∞(c或c0 )的有界保不交算子的情况 .讨论了具有不交Schauder基的Banach格上有界保不交算子的矩阵特征 .
The characterization of disjoint preserving operators from R n to R m is presented by means of the matrix with the property that there is at most one nonzero element in every row. And this resul t is generalized to the characterizations of bounded disjoint preserving operato rs from classical Banach lattices c 0 and l p(1≤p<∞) to l ∞ , c or c 0 . In addition, the matrix characteristic of bounded disjoint p reserving operators on Banach lattices with the disjoint Schauder basis is discu ssed similarly.
出处
《西南交通大学学报》
EI
CSCD
北大核心
2003年第4期438-440,共3页
Journal of Southwest Jiaotong University
关键词
格
算子
保不交算子
BANACH格
矩阵
lattice
operator
disjoint preserving operator
Banach lattice
matrix
