On the Fine Structure of Spectra of Upper Triangular Double-Band Matrices as Operators on ℓp Spaces

Authors

Saad R. El-Shabrawy, Department of Mathematics, Faculty of Science, Damietta University, Damietta 34517, EgyptFollow
Suad H. Abu-Janah, Department of Mathematics, Faculty of Science, Damietta University, Damietta 34517, EgyptFollow

Author Country (or Countries)

Egypt

Abstract

In the present paper, we study the fine structure of spectra of infinite upper triangular double-band matrices as operators on ℓp, where 1 ≤ p < ¥. Three methods for classifying the spectrum are considered. Moreover, the obtained results are used to study the eigenvalue problem associated with certain infinite matrices. Our results improve and generalize many known results in the current literature.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/100334

Recommended Citation

R. El-Shabrawy, Saad and H. Abu-Janah, Suad (2016) "On the Fine Structure of Spectra of Upper Triangular Double-Band Matrices as Operators on ℓp Spaces," Applied Mathematics & Information Sciences: Vol. 10: Iss. 3, Article 34.
DOI: http://dx.doi.org/10.18576/amis/100334
Available at: https://digitalcommons.aaru.edu.jo/amis/vol10/iss3/34