Journals / Turkish Journal of Mathematics and Computer Science / 2018 / Cilt: 10 - Sayı: 10

Discreteness of Spectrum of Normal Differential Operators for First Order

Pages
67–73
Publication Date
2022-11-05
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

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

Later on, the asymptotical behavior of eigenvalues of any normal extension has been examined.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this work under the condition A−1 ∈ C∞(H), we investigate the discreteness of spectrum of normalextensions in detail.
📊
Key Findings & Data:In this work under the condition A−1 ∈ C∞(H), we investigate the discreteness of spectrum of normalextensions in detail.
💡
Conclusion & Impact:Later on, the asymptotical behavior of eigenvalues of any normal extension has been examined.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this work under the condition A−1 ∈ C∞(H), we investigate the discreteness of spectrum of normalextensions in detail. Later on, the asymptotical behavior of eigenvalues of any normal extension has been examined.

🔖

Cite This Article

Mert, R. Ö., Ismailov, Z. I., Yılmaz, B., Al, P. İ. (2022). Discreteness of Spectrum of Normal Differential Operators for First Order. Turkish Journal of Mathematics and Computer Science, Cilt: 10 - Sayı: 10, 67–73. https://ajindex.com/articles/609181

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (13)

  1. Coddington, E.A., Extension theory of formally normal and symmetric subspaces, Mem. Amer. Math. Soc., 134 (1973), 1 80
  2. Davis, R. H, Singular Normal Differential Operators, Tech. Rep., Dep. Math., California Univ., 1955
  3. Dunford, N., Schwartz, J. T., Linear Operators I, II, Second ed., Interscience, New York, 1958; 1963
  4. Gohberg, I.C., Krein, M.G., Introduction to the Theory of Linear Non-Self-Adjoint Operators, Amer. Math. Soc., Providence, RI, 1969
  5. Gorbachuk, M.L., Self-Adjoint Boundary Value Problems for the Differential Equations for Second Order with the Unbounded Operator Coefficient, Funktsional. Anal. i Prilozhen. 5 (1971), 10-21 (in Russian)
  6. Gorbachuk, V.I., Gorbachuk, M.L., Boundary Value Problems for Operator Differential Equations, Kluwer Academic, Dordrecht, 1991
  7. Hormander, L., ¨ On the theory of general partial differential operators, Acta Mathematica, 94 (1955), 161-248
  8. Ipek Al, P., Yılmaz, B., Ismailov, Z.I., The general form of normal quasi-differential operators for first order and their spectrum, Turkish Journal of Mathematics and Computer Science, 8 (2018), 22-28
  9. Ismailov, Z. I., Compact inverses of first-order normal differential operators, J. Math., Anal. Appl. USA, 320,1(2006),266-278
  10. Kilpi, Y., Uber lineare normale transformationen in Hilbertschen raum ¨, Ann. Acad. Sci. Fenn. Math. Ser. AI 154 (1953)
  11. Kilpi, Y., Uber die anzahl der hypermaximalen normalen fort setzungen normalen transformationen ¨, Ann. Univ. Turkuensis. Ser. AI 65 (1963)
  12. Kolmogorov, A.N., Fomin, S.V., Elements of the Theory of Functions and Functional Analysis, Dover Books on Mathematics, 1999
  13. Zettl, A., Sun, J., Survey article: Self-adjoint ordinary differential operators and their spectrum, Roky Mountain Journal of Mathematics, 45, (2015), 763-886.