On G-cyclicity of operators
Dissertant
Thesis advisor
University
Islamic University
Faculty
Faculty of Science
Department
Department of Mathematics
University Country
Palestine (Gaza Strip)
Degree
Master
Degree Date
2007
English Abstract
In this thesis, we focus our study on a part of cyclic phenomena, namely Gcyclic operators on an infinite dimensional separable complex Hilbert space. We study some properties of cyclic, super cyclic, and hyupersyclic operators, then we give some examples that explain the relationship between them, where we find that, supercyclicity stands in the midway between hypercyclicity and cyclicity. In the first step we give necessary and sufficient conditions for an operator to be G-cyclic, we show that every G-cyclic operator is super cyclic but the converse need not be true in general.
Then we discuss some of the properties of the spectrum of G-cyclic operators. In the second step, as examples of G-cyclic operators we define disk-cyclic and codisk-cyclic operators, and state and prove the Disk-Codisk cyclicity criterion.
Finally we give applications of this result.
Main Subjects
No. of Pages
66
Table of Contents
Abstract.
Contents.
Chapter 1 : Preliminaries.
Chapter 2 : Cyclic, supercyclic and hypercyclic operators.
Chapter 3 : G-cyclicity.
Chapter 4 : Disk-cyclicity and codisk-cyclicity.
American Psychological Association (APA)
Salman, Atif A.. (2007). On G-cyclicity of operators. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-299356
Modern Language Association (MLA)
Salman, Atif A.. On G-cyclicity of operators. (Master's theses Theses and Dissertations Master). Islamic University. (2007).
https://search.emarefa.net/detail/BIM-299356
American Medical Association (AMA)
Salman, Atif A.. (2007). On G-cyclicity of operators. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-299356
Language
English
Data Type
Arab Theses
Record ID
BIM-299356