The Weighted Mean Operator on l2 with the Weight Sequence w n=n1 is Hyponormal


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New Zealand Journal of Mathematics

Vol. 44, (2014), Pages 103-106

H. C. Rhaly Jr.

1081 Buckley Drive,

Jackson, MS 39206, U.S.A.

B. E. Rhoades

Indiana University,

Department of Mathematics,

Bloomington, IN 47405, U.S.A.

Abstract Posinormality is used to demonstrate that the weighted mean matrix whose weight sequence is the sequence of positive integers is a hyponormal operator on l2.

Keywords Posinormal operator, hyponormal operator, factorable matrix, weighted mean matrix.

Classification (MSC2000) Primary 47B99.

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