二阶广义Cesàro矩阵的超正规性和亚正规性
Supraposinormality and hyponormality for the generalized Cesàro matrices of order two
摘要：
众所周知，一阶广义Cesàro矩阵是$\ell^2$上的亚正规算子，最近证明了二阶Cesàro矩阵也是亚正规的.在这里，超正规性的相对较新的概念被用来表明，广义Cesàro矩阵的二阶既posinormal和coposinormal，而且“大多数”他们也是亚正规的。提出了一个猜想，推广了亚正规性的结果。
英文摘要：
It is well known that the generalized Cesàro matrices of order one are hyponormal operators on $\ell^2$, and it has recently been shown that the Cesàro matrix of order two is also hyponormal. Here the relatively new concept of supraposinormality is used to show that the generalized Cesàro matrices of order two are both posinormal and coposinormal, and that "most" of them are also hyponormal. A conjecture is propounded that would extend the hyponormality result.
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