Theses and Dissertations
Date of Award
Master of Science (MS)
Dr. Jasang Yoon
Dr. Tamer Oraby
Dr. Zhaosheng Feng
Given the concept of a normal operator, several weaker notions have been proposed in order to extend the properties of normal operators to a wider range of operators. One such notion is that of k-hyponormal operators. In this document, we focus our attention on the 2-hyponormality of weighted shift operators over a discrete Hilbert space. It will be shown that if a certain relation between the weights α = ( α0, α1,...) of a weighted shift Wα is satisfied, then the 2-hyponormality of Wα implies the hyponormality of Wαm for any m = 2, 3,....
Benitez, Juan G., "2-Hyponormality on Unilateral Weighted Shifts" (2019). Theses and Dissertations. 410.
Copyright 2019 Juan G. Benitez. All Rights Reserved.