论文标题
Lebesgue空间上的Hausdorff操作员，通勤摄动矩阵是一个非Riesz操作员
A Hausdorff Operator on Lebesgue Space With Commuting Perturbation Matrices Is a Non-Riesz Operator
论文作者
论文摘要
我们考虑将Hausdorff运营商在Lebesgue空间上进行概括，并且在自然条件下证明，如果该操作员不是零，则该操作员不是Riesz运营商。特别是，它不能表示为quasinilpotent和compact的操作员的总和。
We consider a generalization of Hausdorff operators on Lebesgue spaces and under natural conditions prove that such an operator is not a Riesz operator provided it is non-zero. In particular, it cannot be represented as a sum of a quasinilpotent and compact operators.
