On the class of paranormal operators
Dissertant
al-Umayriin, Ibtihal Hamid Khalaf
Thesis advisor
Comitee Members
al-Utaywi, Ali Muhammad
al-Butush, Ratib Hamid
Sulayman, Ibrahim Abd Allah
University
Mutah University
Faculty
Faculty of Science
Department
Department of Mathematics and Statistics
University Country
Jordan
Degree
Master
Degree Date
2016
English Abstract
An operator T is said to be paranormal if T 2x ³ Tx 2 holds for every unit vector .
Several extensions of paranormal operators are considered until now, for example -paranormal, perinormal and generalized paranormal operators.
In this thesis we will give some properties of hyponormal, paranormal, -paranormal, perinormal, ∗-paranormal operators.
Precisely we will give some conditions which are generalization of concepts of paranormal, hyponormal, quasihyponormal and we give some necessary and sufficient under which an operator is ∗-paranormal, perinormal or paranormal.
It is also we give a characterization of paranormal and investigate the relation of such class of operators and other known classes of operators.
Moreover, we show that if E is the Riesz idempotent for a nonzero isolated point of the spectrum of -paranormal operator , then Â(E ) = ker(T - l) = ker(T * - l) .
For this situation, is self-adjoint.
Main Subjects
No. of Pages
47
Table of Contents
Table of contents.
Abstract.
Abstract in Arabic.
Chapter One : Introduction.
Chapter Two : Bounded linear operators on Hilbert space.
Chapter Three : Paranormal operator.
Chapter Four : On the isolated points of the spectrum of m-paranormal operator.
References.
American Psychological Association (APA)
al-Umayriin, Ibtihal Hamid Khalaf. (2016). On the class of paranormal operators. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-731523
Modern Language Association (MLA)
al-Umayriin, Ibtihal Hamid Khalaf. On the class of paranormal operators. (Master's theses Theses and Dissertations Master). Mutah University. (2016).
https://search.emarefa.net/detail/BIM-731523
American Medical Association (AMA)
al-Umayriin, Ibtihal Hamid Khalaf. (2016). On the class of paranormal operators. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-731523
Language
English
Data Type
Arab Theses
Record ID
BIM-731523
