On P-hyponormal operators on a Hilbert space
Other Title(s)
حول المؤثرات ب-الفوق عاديه في فضاء هليبرت
Dissertant
al-Ruwayli, Mufrih Bin Maqbul Bin Batin
Thesis advisor
Comitee Members
al-Kasasibah, Faysal Muhammad
Warikat, Fawwaz Awwad
al-Umari, Ahmad Abd Allah
University
Mutah University
Faculty
Faculty of Science
Department
Department of Mathematics and Statistics
University Country
Jordan
Degree
Master
Degree Date
2012
English Abstract
In this thesis we have studied the p -hyponormal operators for bounded linear operators on a complex Hilbert space.
We study some properties of powers of the p-hyponormal operators, and apply some of these properties on the normal operators and the spectrum of p-hyponormal operators.
Also, We shall introduce a generalized Aluthge transformation on p -hyponormal operators and also, by using the Furuta inequality, we shall give several properties on this generalized Aluthge transformation as further extensions of some results of Aluthge.
Moreover, we try to prove some results concerning the Fuglede-Putnam-Aluthge problem.
More precisely, we prove that if T and S * are p -hyponormal, then C om (T , S ) Í C om (T , S ) and if, moreover, T is invertible p -hyponormal operator and S * is p -hyponormal then Com (T ,S ) = Com (T ,S ).
Main Subjects
No. of Pages
50
Table of Contents
Table of contents.
Abstract.
Abstract in Arabic.
Chapter One : Introduction.
Chapter Two : Bounded linear operators on hilbert space.
Chapter Three : Some mapping via generalized topological spaces.
Chapter Four : Fuglede-putnam theorem.
References.
American Psychological Association (APA)
al-Ruwayli, Mufrih Bin Maqbul Bin Batin. (2012). On P-hyponormal operators on a Hilbert space. (Master's theses Theses and Dissertations Master). Jordan
https://search.emarefa.net/detail/BIM-786111
Modern Language Association (MLA)
al-Ruwayli, Mufrih Bin Maqbul Bin Batin. On P-hyponormal operators on a Hilbert space. (Master's theses Theses and Dissertations Master). (2012).
https://search.emarefa.net/detail/BIM-786111
American Medical Association (AMA)
al-Ruwayli, Mufrih Bin Maqbul Bin Batin. (2012). On P-hyponormal operators on a Hilbert space. (Master's theses Theses and Dissertations Master). Jordan
https://search.emarefa.net/detail/BIM-786111
Language
English
Data Type
Arab Theses
Record ID
BIM-786111
