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arXiv · 1903.07896

The generalized Ces\`{a}ro matrices of order three are supraposinormal on $\ell^2$

H. C. Rhaly Jr
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Abstract

The procedure that was used in an earlier paper on the generalized Ces\`{a}ro matrices of order two is adapted here to show that generalized Ces\`{a}ro matrices of order three are supraposinormal on $\ell^2$. This leads to information about their posinormality, coposinormality, and hyponormality. The reader is then invited to formulate a conjecture regarding generalized Ces\`{a}ro matrices of other orders.

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H. C. Rhaly Jr. 2019-03-19. The generalized Ces\`{a}ro matrices of order three are supraposinormal on $\ell^2$. https://arxiv.org/abs/1903.07896

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