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http://hdl.handle.net/20.500.12358/21348
TitleOn G-Cyclicity of Operators
Untitled
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, supercyclic, 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 a necessary and sufficient conditions for an operator to be G-cyclic, we show that every G-cyclic operator is supercyclic 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.

Authors
Salman, Atef A.
Supervisors
As''ad, As''ad Yousef
Typeرسالة ماجستير
Date2007
LanguageEnglish
Publisherthe islamic university
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  • PhD and MSc Theses- Faculty of Science [445]
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The institutional repository of the Islamic University of Gaza was established as part of the ROMOR project that has been co-funded with support from the European Commission under the ERASMUS + European programme. This publication reflects the views only of the author, and the Commission cannot be held responsible for any use which may be made of the information contained therein.

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The institutional repository of the Islamic University of Gaza was established as part of the ROMOR project that has been co-funded with support from the European Commission under the ERASMUS + European programme. This publication reflects the views only of the author, and the Commission cannot be held responsible for any use which may be made of the information contained therein.

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