On the banach algebra of bounded linear operators on a bk space and applications
Dissertant
Thesis advisor
University
Islamic University
Faculty
Faculty of Science
Department
Department of Mathematics
University Country
Palestine (Gaza Strip)
Degree
Master
Degree Date
2008
English Abstract
In this thesis we give some properties of Banach algebra of bounded operators B (X) where X is a BK space, and study the solvability of the equation Ax=b for b 2 {sa, so a, s (c)a , l p (a)} with a 2 U+ and 1 ≤ p < 1. We study the solvability of the equation Tax = b where b € X (∆k) for an integer k ≥ 1, X € {sa, so a, s (c) a, l p (a)}, 1 ≤ p < 1 and Ta is a Toeplitz triangle matrix. Finally, we apply the previous results to infinite tridiagonal matrix and explicitly calculate the inverse of an infinite tridiagonal matrix.
We deal with some properties of the matrix map M (y, a, η) between particular sequence spaces.
Then we will explicitly calculate the inverse of M (y, a, η).
Main Subjects
No. of Pages
72
Table of Contents
Abstract.
Contents.
Chapter 1 : Preliminaries.
Chapter 2 : The banach algebra on the bounded linear operators on A BK space.
Chapter 3 : Matrix Transformations Mapping in the set X(∆k) for k ≥ 1 Integer and X ϵ {sα, sαo, sα (c), lp(α≤)} with 1 ≤ p < ∞.
Chapter 4 : Applications.
American Psychological Association (APA)
al-Hubi, Iyad M.. (2008). On the banach algebra of bounded linear operators on a bk space and applications. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-299445
Modern Language Association (MLA)
al-Hubi, Iyad M.. On the banach algebra of bounded linear operators on a bk space and applications. (Master's theses Theses and Dissertations Master). Islamic University. (2008).
https://search.emarefa.net/detail/BIM-299445
American Medical Association (AMA)
al-Hubi, Iyad M.. (2008). On the banach algebra of bounded linear operators on a bk space and applications. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-299445
Language
English
Data Type
Arab Theses
Record ID
BIM-299445
