English

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

Functional Analysis 2019-03-20 v1

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 2\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.

Keywords

Cite

@article{arxiv.1903.07896,
  title  = {The generalized Ces\`{a}ro matrices of order three are supraposinormal on $\ell^2$},
  author = {H. C. Rhaly},
  journal= {arXiv preprint arXiv:1903.07896},
  year   = {2019}
}

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4 pages