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
approximate point spectrum defect spectrum Generalized difference operator compression spectrum
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.
- [9]. Dutta A., Tripathy B.C., Fine Spectrum of the Generalized Difference Operator over the Class of Convergent Series, Int. J. Anal., 2013, Article ID 630436 (2013), 1-4.
- [10]. Goldberg S., Unbounded Linear Operators, McGraw Hill, New York, (1966).
- [11]. Paul A., Tripathy B.C., The spectrum of the operator over the sequence spaces and , Hacet. J. Math. Stat., 43-3 ( 2014) 425-434.
- [12]. Paul A., Tripathy B.C., The spectrum of the operator over the sequence space , Georgian Math. J., 22-3 (2015) 421-426.
- [13]. Tripathy B.C., Das R. Spectrum and fine spectrum of the upper triangular matrix over the squence space, Proyecciones, 34-2 (2015) 107-125.
- [14]. Tripathy B.C., Saikia P. On the spectrum of the Cesaro operator on , Math. Slovaca 63-3 (2013) 563-572.
Abstract
Bu çalışmanın amacı, yakınsak seriler sınıfında
genelleştirilmiş fark operatörünün yaklaşık nokta spektrumunu, eksik spektrumu
ve sıkıştırma spektrumu vermektir.
Keywords
Genelleştirilmiş fark operatörü yaklaşık nokta spektrum eksik spektrum sıkıştırılmış spektrum
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.
- [9]. Dutta A., Tripathy B.C., Fine Spectrum of the Generalized Difference Operator over the Class of Convergent Series, Int. J. Anal., 2013, Article ID 630436 (2013), 1-4.
- [10]. Goldberg S., Unbounded Linear Operators, McGraw Hill, New York, (1966).
- [11]. Paul A., Tripathy B.C., The spectrum of the operator over the sequence spaces and , Hacet. J. Math. Stat., 43-3 ( 2014) 425-434.
- [12]. Paul A., Tripathy B.C., The spectrum of the operator over the sequence space , Georgian Math. J., 22-3 (2015) 421-426.
- [13]. Tripathy B.C., Das R. Spectrum and fine spectrum of the upper triangular matrix over the squence space, Proyecciones, 34-2 (2015) 107-125.
- [14]. Tripathy B.C., Saikia P. On the spectrum of the Cesaro operator on , Math. Slovaca 63-3 (2013) 563-572.
Details
| Primary Language | English |
|---|---|
| Journal Section | Natural Sciences |
| Authors | |
| Publication Date | March 16, 2018 |
| Submission Date | December 20, 2017 |
| Acceptance Date | February 21, 2018 |
| Published in Issue | Year 2018 |