Supraposinormality and hyponormality for the generalized Ces\`aro matrices of order two
Functional Analysis
2018-02-26 v1
Abstract
It is well known that the generalized Ces\`aro matrices of order one are hyponormal operators on , and it has recently been shown that the Ces\`aro matrix of order two is also hyponormal. Here the relatively new concept of supraposinormality is used to show that the generalized Ces\`aro 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.
Keywords
Cite
@article{arxiv.1602.01408,
title = {Supraposinormality and hyponormality for the generalized Ces\`aro matrices of order two},
author = {H. C. Rhaly},
journal= {arXiv preprint arXiv:1602.01408},
year = {2018}
}