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Partition of the Spectra for the Generalized Difference Operator B(r,s) on the Sequence Space cs
Abstract
The goal of this study gives the approximate
point spectrum, the defect spectrum and the compression spectrum of generalized
difference operator B (r, s) over the class of
convergent series.
Keywords
References
- [1]. Altay B., Başar F., On the fine spectrum of the generalized difference operator over the sequence spaces and , Int. J. Math. Sci. 18 (2005) 3005-3013.
- [2]. Appell J. Pascale E.D., Vignoli A., Nonlinear Spectral Theory. Walter de Gruyter , Berlin , New York, (2004).
- [3]. Bilgiç H. and Furkan H., On the fine spectrum of the generalized difference operator over the sequence spaces and , , Nonlinear Anal., 68 ( 2008) 499-506.
- [4]. Başar F., Durna N., Yildirim M., Subdivisions of the spectra for genarilized difference operator over certain sequence spaces, Thai J. Math., 9-2 (2011) 285-295.
- [5]. Das R., Tripathy B.C., Spectrum and fine spectrum of the lower triangular matrix over the sequence space , Songklanakarin J. Sci. Technol., 38-3 ( 2016) 265-274.
- [6]. Das R., On the spectrum and fine spectrum of the upper triangular matrix over the sequence space . Afr. Math. 28-5,6 (2017) 841-849.
- [7]. Durna N., Yildirim M., Subdivision of the spectra for factorable matrices on . GUJ Sci ., 24-1 (2011) 45-49.
- [8]. Durna N., Subdivision of the spectra for the generalized upper triangular double-band matrices over the sequence spaces and , ADYUSCI, 6-1 ( 2016) 31-43.
Details
Primary Language
English
Subjects
-
Journal Section
Research Article
Publication Date
March 16, 2018
Submission Date
December 20, 2017
Acceptance Date
February 21, 2018
Published in Issue
Year 1970 Volume: 39 Number: 1
APA
Durna, N., Yıldırım, M., & Kılıç, R. (2018). Partition of the Spectra for the Generalized Difference Operator B(r,s) on the Sequence Space cs. Cumhuriyet Science Journal, 39(1), 7-15. https://doi.org/10.17776/csj.369069
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