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, Pages 212-225 PDF (839.71 K) | ||
| Document Type: Original articles | ||
| DOI: 10.21608/sjdfs.2025.405831.1253 | ||
| Authors | ||
| Rabha M. El-Ashwah; H. A. El-Morshedy; Asmaa M. Shindy* ; Saad R. El-Shabrawy | ||
| 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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