Spectrum and fine spectrum of the upper triangular triple-band matrix over some sequence spaces

被引：2

作者：

Basar, Feyzi ^{[1
]}

Karaisa, Ali ^{[2
]}

机构：

[1] Fatih Univ, Fac Arts & Sci, Dept Math, TR-34500 Istanbul, Turkey

[2] Necmettin Erbakan Univ, Dept Math Comp Sci, Konya, Turkey

来源：

ADVANCEMENTS IN MATHEMATICAL SCIENCES (AMS 2015) | 2015年 / 1676卷

关键词：

Spectrum of an operator; Upper triple band matrix; Spectral mapping theorem; Sequence spaces; Goldberg's classification; DIFFERENCE OPERATOR DELTA; C(0);

D O I：

10.1063/1.4930511

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The fine spectra of lower triangular triple-band matrices in some sequence spaces was examined by several authors. Recently, Karakaya and Altun determined the fine spectra of upper triangular double-band matrices over the sequence spaces c(0) and c, in [1]. In this paper, we determine the fine spectra of the upper triangular triple-band matrix over the sequence spaces c(0), c and l(infinity.) Additionally, we give the approximate point spectrum, the defect spectrum and the compression spectrum of the matrix operator A(r,s,t) over the spaces c(0), c and l(infinity) with some applications. These results are more general than the corresponding results obtained by Karakaya and Altun [J. Comput. Appl. Math. 234 (2010), 1387-1394].

引用

页数：10

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