On the fine spectrum of the operator Δa,b over the sequence space c

被引：34

作者：

Akhmedov, A. M. ^{[1
]}

El-Shabrawy, S. R. ^{[1
]}

机构：

[1] Baku State Univ, Fac Mech & Math, AZ-1148 Baku, Azerbaijan

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2011年 / 61卷 / 10期

关键词：

Spectrum of an operator; Generalized difference operator; The sequence space c;

D O I：

10.1016/j.camwa.2011.03.085

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we examine the fine spectrum of the generalized difference operator Delta(a,b) over the sequence space c. The boundedness of the operator Delta(a,b) has been proved. Also, the norm of this operator has been found. The class of the operator Delta(a,b) includes some other special cases such as the generalized difference operator B(r, s) introduced by Altay and Basar in 2005. Our results not only generalize the corresponding results in the existing literature, but also give results for some more operators. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：2994 / 3002

页数：9

共 17 条

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Akhmedov, Ali M.
Basar, Feyzi
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Bilgic, Hueseyin
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