On the space of bounded Euler difference sequences and some classes of compact operators

被引：6

作者：

Djolovic, Ivana ^{[1
]}

机构：

[1] Univ Belgrade, Tech Fac, Bor, Serbia

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 182卷 / 02期

关键词：

sequence spaces; matrix transformations; compact operators; Hausdorff measure of noncompactness;

D O I：

10.1016/j.amc.2006.06.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider the new one sequence space a(infinity)(r)(Delta) and characterize matrix transformations between a(infinity)(r)(Delta) and certain BK spaces. Further, we define the subclasses of compact operators applying the Hausdorff measure of noncompactness. Our results extend those in [C. Aydin, F. Basar, Some new difference sequence spaces, Appl. Math. Comput. 157 (2004) 677-693; I. Djolovic, Compact operators on the spaces a(0)(r)(Delta) and a(c)(r)(Delta), J. Math. Anal. Appl. 318 (2006) 658666]. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：1803 / 1811

页数：9

共 10 条

[1] Some new difference sequence spaces [J].