Spectrum and fine spectrum of the Zweier matrix over the sequence space cs-Reference-Cited by-同舟云学术

Spectrum and fine spectrum of the Zweier matrix over the sequence space cs

Published:2017-04-03 Issue:2 Volume:35 Page:209
ISSN:2175-1188
Container-title:Boletim da Sociedade Paranaense de Matemática
language:
Short-container-title:B Soc Paran Mat

Author:

Das Rituparna

Abstract

In this article we have determined the spectrum and fine spectrum of the Zweier matrix Z_s on the sequence space cs. In a further development, we have also determined the approximate point spectrum, the defect spectrum and the compression spectrum of the operator Z_s on the sequence space cs.

Publisher

Sociedade Paranaense de Matematica

Subject

General Mathematics

Reference35 articles.

1. 1. 1. A. M. Akhmedov and S. R. El-Shabrawy,On the fine spectrum of the operator a,b over the sequence space c,Comput. Math. Appl., 61(10), (2011), 2994-3002.

2. 2. 2. A. M. Akhmedov and F. Basar,The fine spectra of the Cesàro operator C1 over the sequence space bvp (1 p < 1), Math. J. Okayama Univ. 50 (2008), 135-147.

3. 3. 3. B. Altay and F. Basar, On the fine spectrum of the difference operator on c0 and c, Inf. Sci., 168(2004), 217-224.

4. 4. 4. B. Altay and F. Basar, On the fine spectrum of the generalized difference operator B(r, s) over the sequence spaces c0 and c, Int. J. Math. Math. Sci., 2005:18 (2005), 3005-3013.

5. 5. 5. B. Altay and M. Karakus, On the spectrum and the fine spectrum of the Zweier matrix as an operator on some sequence spaces,Thai J. Math., 3(2) (2005), 153-162.

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Solvability of Infinite Linear Systems;Operators Between Sequence Spaces and Applications;2021

2. A Survey for the Spectrum of Triangles over Sequence Spaces;Numerical Functional Analysis and Optimization;2019-07-16

3. The Spectrum and fine spectrum of generalized Rhaly-Cesàro matrices on c_0 and c;Operators and Matrices;2018