The Fuglede Putnam Theorem
Other Title(s)
نظرية فوجليد-بوتنام الكلاسيكية
Dissertant
al-Rawashidah, Asma Muhammad Yahya
Thesis advisor
Comitee Members
al-Butush, Ratib Hamid
al-Banawi, Kamal Ata Allah Salih
Kittanah, Asad Fuad
University
Mutah University
Faculty
Faculty of Science
Department
Department of Mathematics and Statistics
University Country
Jordan
Degree
Master
Degree Date
2013
English Abstract
The classical Fuglede-Putnam Theorem state that if A and B are normal operators such that AX=XB for some X∈B(H), then A^* X=XB^*.
In this thesis we focus on Fuglede-Putnam Theorem for non-normal operators.
We introduce a proof of the classical Fuglede-Putnam Theorem and we present some of its applications.
We also study several extensions of this theorem to classes of operators larger than that of normal operators.
In addition, we investigate the Fuglede-Putnam Theorem modulo the Hilbert-Schmidt class C_2.
Finally, we investigate several properties of generalized aluthge transformation.
Moreover, we prove that Fuglede-Putnam Theorem hold for p-w-hyponormal operator T with 0
Main Subjects
No. of Pages
31
Table of Contents
Table of contents.
Abstract.
Chapter One : Introduction.
Chapter Two : Bounded linear operators on hilbert space.
Chapter Three : Generalized fuglede-putnam theorem.
Chapter Four : On (s, p)-w-hyponormal operators.
References.
American Psychological Association (APA)
al-Rawashidah, Asma Muhammad Yahya. (2013). The Fuglede Putnam Theorem. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-402007
Modern Language Association (MLA)
al-Rawashidah, Asma Muhammad Yahya. The Fuglede Putnam Theorem. (Master's theses Theses and Dissertations Master). Mutah University. (2013).
https://search.emarefa.net/detail/BIM-402007
American Medical Association (AMA)
al-Rawashidah, Asma Muhammad Yahya. (2013). The Fuglede Putnam Theorem. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-402007
Language
English
Data Type
Arab Theses
Record ID
BIM-402007
