Subdivision of the Spectra for the Generalized Difference Operator Δ_(a,b) on the Sequence Space l_p " " (1<p<∞)
Abstract
El-Shabrawy has introduced the generalized
difference operator denoted by . Let
nonzero real numbers sequences and
be convergent
sequences such that and
The generalized
difference operator is with. In this paper we study the approximate point spectrum, the
defect spectrum and the compression spectrum of the operator on the p-absolutely
summable sequences space.
Keywords
— Generalized difference operator approximate point spectrum defect spectrum compression spectrum
References
- Yildirim, M. On the spectrum and fine spectrum of the compact Rhaly operators. Indian J. Pure Appl. Math. 1996; 27, 779-784.
Abstract
References
- Yildirim, M. On the spectrum and fine spectrum of the compact Rhaly operators. Indian J. Pure Appl. Math. 1996; 27, 779-784.
Details
| Subjects | Engineering |
|---|---|
| Journal Section | Research Article |
| Authors | |
| Publication Date | June 30, 2017 |
| DOI | https://doi.org/10.18466/cbayarfbe.319876 |
| IZ | https://izlik.org/JA55FZ73YR |
| Published in Issue | Year 2017 Volume: 13 Issue: 2 |