一类经典Banach格上保不交算子的矩阵刻画
Matrix Characterization of a Type of Disjoin Preserving Operators on Classical Banach Lattices
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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.Abstract: The characterization of disjoint preserving operators fromRntoRmis presented by means of the matrix with the property that there is at most one nonzero element in every row. And this result is generalized to the characterizations of bounded disjoint preserving operators from classical Banach latticesc0andlp(1≤p<∞)tol∞,corc0. In addition, the matrix characteristic of bounded disjoint preserving operators on Banach lattices with the disjoint Schauder basis is discussed similarly.
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Key words:
- lattice /
- operator /
- disjoint preserving operator /
- Banach lattice /
- matrix
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