2-Hyponormality on Unilateral Weighted Shifts

Author

Juan G. Benitez, The University of Texas Rio Grande Valley

Date of Award

8-2019

Document Type

Thesis

Degree Name

Master of Science (MS)

Department

Mathematics

First Advisor

Dr. Jasang Yoon

Second Advisor

Dr. Tamer Oraby

Third Advisor

Dr. Zhaosheng Feng

Abstract

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,....

Comments

Copyright 2019 Juan G. Benitez. All Rights Reserved.

https://go.openathens.net/redirector/utrgv.edu?url=https://www.proquest.com/dissertations-theses/2-hyponormality-on-unilateral-weighted-shifts/docview/2330597357/se-2?accountid=7119

Recommended Citation

Benitez, Juan G., "2-Hyponormality on Unilateral Weighted Shifts" (2019). Theses and Dissertations. 410.
https://scholarworks.utrgv.edu/etd/410