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

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 1970 Volume: 42 Number: 3

DOI

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

IZ

https://izlik.org/JA38NF85EH

Cite

RIS / Bibtex

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

Öz

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

Abstract

Keywords

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

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Acceptance Date

Published in Issue

DOI

IZ

Cite