Functions and Analysis


Necessary and Sufficient Conditions for a Factorable Matrix to be Hyponormal

Authors: H. C. Rhaly Jr.

Necessary and sufficient conditions are given for a special subclass of the factorable matrices to be hyponormal operators on $\ell^2$. Three examples are then given of polynomials that generate hyponormal weighted mean operators, and one example that does not. Paired with the main result presented here, various computer software programs may then be used as an aid for classifying operators in that subclass as hyponormal or not.

Comments: 4 Pages.

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Submission history

[v1] 2019-01-23 13:23:22
[v2] 2019-01-24 13:38:55

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