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On the fine spectra of the Jacobi matrices on π’„π’„πŸŽπŸŽ, 𝒄𝒄, 𝓡𝓡𝒑𝒑 (𝟏𝟏 ≀ 𝒑𝒑 ≀ ∞) and 𝒃𝒃𝒃𝒃𝒑𝒑 (𝟏𝟏 ≀ 𝒑𝒑 < ∞)

Nuh DURNA1
Mustafa YILDIRIM
Abbas KILIÇ
Pages
677–687
Publication Date
2022-10-12
DOI
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AI Summary & Key Takeaways

AI Insight
⚑ TL;DR(Too Long; Didn't Read)

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

πŸ“Œ 3 Key Takeaways

🎯
Objective & Hypothesis:The spectrum and spectral divisions of band matrices are very new and popular topics of studies.
πŸ“Š
Key Findings & Data: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.
πŸ’‘
Conclusion & Impact:Moreover, we will find the fine division of spectrum which is given by Goldberg with the help of it.
πŸ”¬Design:Research Article
πŸ“Scope:Comprehensive Sample
βš™οΈVariables:Domain Parameters

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.

πŸ”–

Cite This Article

DURNA1, N., YILDIRIM, M., KILIΓ‡, A. (2022). On the fine spectra of the Jacobi matrices on π’„π’„πŸŽπŸŽ, 𝒄𝒄, 𝓡𝓡𝒑𝒑 (𝟏𝟏 ≀ 𝒑𝒑 ≀ ∞) and 𝒃𝒃𝒃𝒃𝒑𝒑 (𝟏𝟏 ≀ 𝒑𝒑 < ∞). Cumhuriyet Science Journal, Cilt: 42 - SayΔ±: 3, 677–687. https://ajindex.com/articles/477572

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References (16)

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