KaydedilenlerDerginizi ekleyin

Dergiler / Sigma Journal of Engineering and Natural Sciences / 2020 / Cilt: 38 Sayı: 3

SPECTRA AND PSEUDOSPECTRA OF THE DIRECT SUM OPERATORS

Zameddin I. ISMAILOV
Pembe IPEK AL
Sayfa
1251–1259
Yayın Tarihi
2021-10-05
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Also, the analogous relations of some numerical characteristics (spectral and pseudospectral radii) of such operators have been investigated.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, the relationships between spectrum and pseudospectrum of the direct sum of linear operators in the direct sum of Hilbert spaces and its coordinate operators have been researched.
📊
Temel Bulgular & Veri:In this paper, the relationships between spectrum and pseudospectrum of the direct sum of linear operators in the direct sum of Hilbert spaces and its coordinate operators have been researched.
💡
Sonuç & Katkı:Also, the analogous relations of some numerical characteristics (spectral and pseudospectral radii) of such operators have been investigated.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Direct sum of operators · spectrum · pseudospectrum

Abstract

In this paper, the relationships between spectrum and pseudospectrum of the direct sum of linear operators in the direct sum of Hilbert spaces and its coordinate operators have been researched. Also, the analogous relations of some numerical characteristics (spectral and pseudospectral radii) of such operators have been investigated.

🔖

Bu Makaleye Atıf Yap

ISMAILOV, Z. I., AL, P. I. (2021). SPECTRA AND PSEUDOSPECTRA OF THE DIRECT SUM OPERATORS. Sigma Journal of Engineering and Natural Sciences, Cilt: 38 Sayı: 3, 1251–1259. https://ajindex.com/articles/897429

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (18)

  1. Arveson W., (1994) C^*-algebras and Numerical Linear Algebra, Journal of Functional Analysis 122, 333-360
  2. Davies E.B., (2002) Non-Self-Adjoint Differential Operators, Bulletin of the London Mathematical Society 34, 513-532
  3. Dencker N., Sjöstrand J. and Zworski M., (2004) Pseudospectra of Semiclassical (Pseudo-) Differential Operators., Communications on Pure and Applied Mathematics 57 (3), 384-415
  4. Bender C.M., Brody D.C and Jones H.F., (2002) Complex Extension of Quantum Mechanics, Physical Review Letters 89 (27), 1-4
  5. Hatano N. and Nelson D.R., (1996) Localization Transitions in Non-Hermitian Quantum Mechanics, Physical Review Letters 77, 570-573
  6. Trefethen L.N. and Chapman S.J., (2004) Wave Packet Pseudomodes of Twisted Toeplitz Matrices, Communications on Pure and Applied Mathematics 57 (9), 1233-1264
  7. Trefethen L.N and Embree M., (2005) Spectra and Pseudospectra: The Behavior of Nonnormal Matrices and Operators. Princeton University Press, Princeton, NJ, USA
  8. Hansen A.C., (2011) On the Solvability Complexity Index, the n-Pseudospectrum and Approximations of Spectra of Operators. Journal of the American Mathematical Society 24 (1), 81-124
  9. Brunner H., Iserles A. and Norsett S.P., (2010) The Spectral Problem for a Class of Highly Oscillatory Fredholm Integral Operators. IMA Journal of Numerical Analysis 30: 108-130
  10. Hansen A.C., (2010) Infinite-Dimensional Numerical Linear Algebra: Theory and Applications. Proceedings of the Royal Society London Series A Mathematical, Physical, Engineering Sciences 2010; 466 (2124): 3539-3559
  11. Dunford N. and Schwartz J.T., (1963) Linear Operators II. Interscience, New York, USA
  12. Ismailov Z.I., (2009) Multipoint Normal Differential Operators for First Order, Opuscula Mathematica 29 (4), 399-414
  13. Kochubei A.N., (1979) Symmetric operators and nonclassical spectral problems, Matematicheskie Zametki 25 (3), 425-434
  14. Timoshenko S., (1961) Theory of Elastic Stability. McGraw-Hill Book Co, New York, USA
  15. Zettl A. Sturm-Lioville Theory: Mathematical Surveys and Monographs. American Mathematical Society, Providence, RI, USA
  16. Gohberg I.C. and Krein M.G., (1969) Introduction to the Theory of Linear Non-Self-Adjoint Operators. Providence. American Mathematical Society, RI, USA
  17. Pietsch A., (1980) Operators Ideals. North-Holland Publishing Company, Amsterdam, Netherlands
  18. Pietsch A., (1987) Eigenvalues and s-Numbers. Cambridge University Press, Londan,