On w-hyponormal operators on a Hilbert space

Other Title(s)

دراسة حول المؤثرات من نوع W-فوق العادية

Dissertant

al-Subayhi, Sulayman Abd Allah

Thesis advisor

Rashid, Muhammad Husayn

Comitee Members

al-Banawi, Kamal Ata Allah Salih
al-Umari, Ahmad Abd Allah
al-Badarinah, Anwar Ali

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 study the w -hyponormal operators for bounded linear operators on an infinite dimensional Hilbert space.

We study some properties of the w -hyponormal operators, and apply some of these properties on the normal operators and the spectrum of w -hyponormal operators.

Also, we introduce an algebraically w -hyponormal operators, we give several properties of this class of operators.

Moreover, it is shown that, if T or its adjoint * T is w -hyponormal, then the generalized Weyl theorem holds for f for every )) ( ( T Hol f .

We also show that if *T is w-hyponormal, then the generalized a-Weyl theorem holds for ) (Tf for every )) ( ( T Hol f and the B-Weyl spectrum ) (T BW and the semi-B-Fredholm spectrum ) (T SBF of T satisfies the spectral mapping theorem.

Finally, we examine the stability of the generalized a-Weyl's theorem under commutative perturbations by finite rank operators.

Main Subjects

Mathematics

No. of Pages

58

Table of Contents

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Language

English

Data Type

Arab Theses

Record ID

BIM-786121