Some results on orlicz spaces of entire sequences

Other Title(s)

بعض النتائج المتعلقة بفضاءات اورلكز للمتتاليات التامة

Dissertant

al-Shar, Shahir Muhammad Abd Allah

Thesis advisor

al-Batayinah, Ahmad Heil A.

Comitee Members

Jaradat, Husayn Mahmud
Shatnawi, Wasfi Ahmad
Frasin, Basim Arif

University

Al albayt University

Faculty

Faculty of Sciences

Department

Department of Mathematics

University Country

Jordan

Degree

Master

Degree Date

2008

Arabic Abstract

لقد قام Rao and Subramanian عام 2004 بتعريف و دراسة الفضاءات  و p) و في هذه الرسالة سنقوم بتعريف و دراسة الفضاءات Δnu) و p, Δnu) حيث أنه لأي متتالية X = (XK) فإن المتتالية الفروقية لها ΔX تعرف كما يلي : ΔX = (Δ XK)∞ K = 1 = (XK – XK + 1)∞ K = 1 N هو عدد صحيح موجب، و u = (uk) هي أي متتالية بحيث أنه uk ≠ 0, (k = 1, 2, 3,…) و كذلك نقوم بالتعرف على بعض الخصائص التبولوجية لهذه الفضاءات و العلاقات فيما بينها و بعض النظريات المتعلقة بها.

English Abstract

The spaces   and   (p) were defined and studied by Rao and Subramanian in 2004, where  denotes the space of all entire sequences, M is a modulus function, and p= (pk) is a sequence of positive real numbers.

In this thesis, we introduce and study the Spaces  ( ) n M u and  ( , )  n u p , where for any sequence ( )     , the difference sequence  is defined as ) ) 1 1 1 ( (                   , n is a positive integer, and u = (uk) is any sequence such that  0,( 1,2,3,...)  u  .

We also study some topological properties of these spaces and some inclusion relations between them and some theorems.

Main Subjects

Mathematics

No. of Pages

43

Table of Contents

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Language

English

Data Type

Arab Theses

Record ID

BIM-302969