On the spectra of some infinite band matrices as operators on the Cesàro sequence space σ_0 | ||||
| Scientific Journal for Damietta Faculty of Science | ||||
| Volume 15, Issue 2, August 2025, Page 212-225 PDF (839.71 K) | ||||
| Document Type: Original articles | ||||
| DOI: 10.21608/sjdfs.2025.405831.1253 | ||||
 View on SCiNiTO | ||||
| Authors | ||||
Rabha M. El-Ashwah ; H. A. El-Morshedy; Asmaa M. Shindy  ; Saad R. El-Shabrawy
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| Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt | ||||
| Abstract | ||||
| In this paper, spectral analysis of infinite triangular double-band matrices acting as operators on the Cesàro space σ_0 is given. The study includes a detailed analysis of the spectrum, distinguishing between different types of the spectrum (e.g., point spectrum, residual spectrum, continuous spectrum, defect spectrum, compression spectrum and approximate point spectrum). Besides, a finer subdivision of the spectrum is given. A generalization of the study to symmetric and non-symmetric tridiagonal matrices is also derived. The technique used in this study is flexible enough to address the spectral problem of the underlying operators in various sequence spaces. | ||||
| Keywords | ||||
| Infinite matrices; Sequence spaces; Spectrum | ||||
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