Best approximation and best co-approximation in normed spaces

Dissertant

Abu Ghazal, Akram Mahmud

Thesis advisor

Asad, Asad Yusuf

University

Islamic University

Faculty

Faculty of Science

Department

Department of Mathematics

University Country

Palestine (Gaza Strip)

Degree

Master

Degree Date

2010

English Abstract

In this thesis, the concept of best approximation and best co-approximation in normed linear spaces is studied.

The concepts of ∈- best approximation and ∈-best co-approximation and∈-orthogonality are introduced and the relations between these concepts are obtained.

Also the maps which preserve approximation are discussed.

Some results are studied.

For example, if the operator on a normed space is an isometric, then it preserves all approximation properties.

Main Subjects

Mathematics

Topics

No. of Pages

70

Table of Contents

Contents.

Abstract.

Chapter 1 : Preliminaries.

Chapter 2 : Best approximation in a normed space.

Chapter 3 : Best co-approximation in a normed space.

American Psychological Association (APA)

Abu Ghazal, Akram Mahmud. (2010). Best approximation and best co-approximation in normed spaces. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-299799

Modern Language Association (MLA)

Abu Ghazal, Akram Mahmud. Best approximation and best co-approximation in normed spaces. (Master's theses Theses and Dissertations Master). Islamic University. (2010).
https://search.emarefa.net/detail/BIM-299799

American Medical Association (AMA)

Abu Ghazal, Akram Mahmud. (2010). Best approximation and best co-approximation in normed spaces. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-299799

Language

English

Data Type

Arab Theses

Record ID

BIM-299799