Can I read The Weighted Mean Matrix with Weight Sequence $W_n=2n+1$ Is a Hyponormal Operator on $\Ell^2$ on EtoBox?

The Weighted Mean Matrix with Weight Sequence $W_n=2n+1$ Is a Hyponormal Operator on $\Ell^2$ by Rhaly, H. C. is a scholarly article available to read on EtoBox.

What is The Weighted Mean Matrix with Weight Sequence $W_n=2n+1$ Is a Hyponormal Operator on $\Ell^2$ about?

A weighted mean matrix whose weight sequence is linear with positive coefficients is shown to be a posinormal operator on $\ell^2$. This operator is also shown to be coposinormal, so it and its adjoint have the same null space and the same range. The posinormality result leads to a proof that the weighted mean matrix associated with the sequence of odd positive integers is hyponormal, as well as a conjecture regarding a more general linear case.

Author

Rhaly, H. C.

Published

2014

Language

EN