Dergiler / Cumhuriyet Science Journal / 2021 / Cilt: 42 Sayı: 3

On the fine spectra of the Jacobi matrices on c_0,c,l_p (1≤p≤∞) and 〖bv〗_p (1≤p<∞)

Sayfa
677–687
Yayın Tarihi
2021-09-24
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Moreover, we will find the fine division of spectrum which is given by Goldberg with the help of it.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:The spectrum and spectral divisions of band matrices are very new and popular topics of studies.
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Temel Bulgular & Veri:In this paper, our aims are to investigate boundedness of Jacobi matrix which is a band matrix has important role in physics and give subdivisions of the spectra, which are approximate point spectrum, defect spectrum and compression spectrum, for a special type Jacobi matrix.
💡
Sonuç & Katkı:Moreover, we will find the fine division of spectrum which is given by Goldberg with the help of it.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Jacobi matrices · Spectrum · Fine spectrum

Abstract

The spectrum and spectral divisions of band matrices are very new and popular topics of studies. In this paper, our aims are to investigate boundedness of Jacobi matrix which is a band matrix has important role in physics and give subdivisions of the spectra, which are approximate point spectrum, defect spectrum and compression spectrum, for a special type Jacobi matrix. Moreover, we will find the fine division of spectrum which is given by Goldberg with the help of it.

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Bu Makaleye Atıf Yap

DURNA, N., YILDIRIM, M., KILIÇ, A. (2021). On the fine spectra of the Jacobi matrices on c_0,c,l_p (1≤p≤∞) and 〖bv〗_p (1≤p<∞). Cumhuriyet Science Journal, Cilt: 42 Sayı: 3, 677–687. https://ajindex.com/articles/960303

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Kaynakça (3)

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  2. Goldberg S., Unbounded Linear Operators, New York:McGraw Hill, (1966). [5]Brown A., Halmos P.R., Shields A.L., Cesàro operators, Acta Sci. Math. (Szeged) 26(1-2) (1965) 125-137. [6]Cass, F.P.
  3. Rhoades, B. E., Mercerian theorems via spectral theory, Pacific J. Math. 73(1) (1977) 63-71. [7] Cartlidge J.P., Weighted Mean Matrices as Operator on l_p, Ph.D. Dissertation, Indiana University, 1978. [8]Başar F., Durna N., Yildirim M., Subdivisions of the Spectra for Generalized Difference Operator over Certain Sequence Spaces, Thai J. Math. 9(2) (2011), 285-295. [9]Durna N, Yıldırım M., Subdivision of the spectra for factorable matrices on c_0, GUJ Sci, 24(1) (2011) 45-49. [10] Durna N, Yıldırım M., Subdivision of the spectra for factorable matrices on c and l_p, Math. Commun., 16 (2011) 519-530. [11] Durna, N., Yıldırım, M., Kılıç, R., Partition of the Spectra for the Generalized Difference Operator B(r,s) on the Sequence Space cs,. Cumhuriyet Sci. J., 39 (1) (2018), 7-15. [12] Akhmedov A.M., El-Shabrawy S.R., Spectra and Fine Spectra of Lower Triangular Double-Band Matrices as Operators on L_p (1≤p [13] Bilgiç H., Furkan H., On the fine spectrum of the generalized difference operator B(r,s) over the sequence spaces l_p and 〖bv〗_p (1 [14] Coskun C., The spectra and fine spectra for p-Cesàro operators, Turkish J. Math., 21 (1997) 207-212. [15] Das R., On the spectrum and fine spectrum of the lower triangular matrix B(±r,±s) over the sequence space c_0, International Journal of Mathematical Archive 6(1) (2015) 229-240. [16] Das R., On The fine spectra of the lower triangular matrix Δ(r,s) over the sequence space l_1, Internat. J. Functional Analysis, Operator Theory and Applications, 7(1) (2015) 1-18. [17] Fathi J., On the ne spectrum of generalized upper triangular double-band matrices uv over the sequence spaces c_0 and c, Int. J. Nonlinear Anal. Appl, 7(1) (2015) 31-43. [18] Karakaya V., Manafov M., Şimşek N., On the fine spectrum of the second order difference operator over the sequence spaces〖 l〗_p and 〖bv〗_p (1 [19] Rhoades B.E, Yıldırım M., Spectra