2 citations · 3 across the 6 of their papers we have counts for
6 papers
The generalized Cesàro matrices of order three are supraposinormal on
H. C. Rhaly
The procedure that was used in an earlier paper on the generalized Cesàro matrices of order two is adapted here to show that generalized Cesàro matrices of order three are suprapos…
Fresh Examples of Hyponormal Terraced Matrices with Transcendental Entries
H. C. Rhaly
This note calls attention to an alternative version of the main result from [4], which can be used together with Maclaurin series expansions and trigonometric identities to show th…
A conjecture on hyponormality for the Cesàro matrix of positive integer order
H. C. Rhaly
It is already known that the Cesàro matrices of orders one and two are coposinormal, hyponormal operators on . Here it is shown that the Cesàro matrices of order three and…
Supraposinormality and hyponormality for the generalized Cesàro matrices of order two
H. C. Rhaly
It is well known that the generalized Cesàro matrices of order one are hyponormal operators on , and it has recently been shown that the Cesàro matrix of order two is also…
The weighted mean matrix with weight sequence is a hyponormal operator on
H. C. Rhaly
A weighted mean matrix whose weight sequence is linear with positive coefficients is shown to be a posinormal operator on . This operator is also shown to be coposinormal,…
A Superclass of the Posinormal Operators
Henry Crawford Rhaly
The starting place is a brief proof of a well-known result, the hyponormality of (the generalized Cesàro operator of order one) for . This leads to the definition o…