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

Nuh Durna; Mustafa Yıldırım; Abbas Kılıç

doi:10.17776/csj.884643

EN

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

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.

Keywords

Jacobi matrices, Spectrum, Fine spectrum

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Nuh Durna ^*
0000-0001-5469-7745
Türkiye

Mustafa Yıldırım
0000-0002-8880-5457
Türkiye

Abbas Kılıç
0000-0002-5487-6556
Türkiye

Publication Date

September 24, 2021

Submission Date

February 22, 2021

Acceptance Date

August 10, 2021

Published in Issue

Year 2021 Volume: 42 Number: 3

DOI

https://doi.org/10.17776/csj.884643

IZ

https://izlik.org/JA38NF85EH

APA

Durna, N., Yıldırım, M., & Kılıç, 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, 42(3), 677-687. https://doi.org/10.17776/csj.884643

AMA

1.Durna N, Yıldırım M, Kılıç A. On the fine spectra of the Jacobi matrices on c_0,c,l_p (1≤p≤∞) and 〖bv〗_p (1≤p<∞). CSJ. 2021;42(3):677-687. doi:10.17776/csj.884643

Chicago

Durna, Nuh, Mustafa Yıldırım, and Abbas Kılıç. 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 42 (3): 677-87. https://doi.org/10.17776/csj.884643.

EndNote

Durna N, Yıldırım M, Kılıç A (September 1, 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 42 3 677–687.

IEEE

[1]N. Durna, M. Yıldırım, and A. Kılıç, “On the fine spectra of the Jacobi matrices on c_0,c,l_p (1≤p≤∞) and 〖bv〗_p (1≤p<∞)”, CSJ, vol. 42, no. 3, pp. 677–687, Sept. 2021, doi: 10.17776/csj.884643.

ISNAD

Durna, Nuh - Yıldırım, Mustafa - Kılıç, Abbas. “On the Fine Spectra of the Jacobi Matrices on C_0,c,l_p (1≤p≤∞) and 〖bv〗_p (1≤p<∞)”. Cumhuriyet Science Journal 42/3 (September 1, 2021): 677-687. https://doi.org/10.17776/csj.884643.

JAMA

1.Durna N, Yıldırım M, Kılıç A. On the fine spectra of the Jacobi matrices on c_0,c,l_p (1≤p≤∞) and 〖bv〗_p (1≤p<∞). CSJ. 2021;42:677–687.

MLA

Durna, Nuh, et al. “On the Fine Spectra of the Jacobi Matrices on C_0,c,l_p (1≤p≤∞) and 〖bv〗_p (1≤p<∞)”. Cumhuriyet Science Journal, vol. 42, no. 3, Sept. 2021, pp. 677-8, doi:10.17776/csj.884643.

Vancouver

1.Nuh Durna, Mustafa Yıldırım, Abbas Kılıç. On the fine spectra of the Jacobi matrices on c_0,c,l_p (1≤p≤∞) and 〖bv〗_p (1≤p<∞). CSJ. 2021 Sep. 1;42(3):677-8. doi:10.17776/csj.884643

As of 2026, Cumhuriyet Science Journal will be published in six issues per year, released in February, April, June, August, October, and December

Abstract

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

Abstract

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References

Details

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