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Dergiler / Turkish Journal of Mathematics and Computer Science / 2018 / Volume: 10 Special Issue

Characteristic Numbers of Upper Triangular One-Band Block Operator Matrices

Rukiye Öztürk Mert(HİTİT ÜNİVERSİTESİ)0000-0001-8083-5304
Pembe İpek Al(KARADENİZ TEKNİK ÜNİVERSİTESİ)
Zameddin I. Ismailov(KARADENİZ TEKNİK ÜNİVERSİTESİ)
Sayfa
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Yayın Tarihi
2018-12-29
DOI
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In this work the boundedness and compactness properties of upper triangular one-band

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this work the boundedness and compactness properties of upper triangular one-band
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Temel Bulgular & Veri:In this work the boundedness and compactness properties of upper triangular one-band
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Sonuç & Katkı:In this work the boundedness and compactness properties of upper triangular one-band
🔬Tür:Conference Paper
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Direct sum of Hilbert spaces · Upper triangular one-band block operator matrix · Compact operator

Abstract

In this work the boundedness and compactness properties of upper triangular one-band

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Bu Makaleye Atıf Yap

Mert, R. Ö., Al, P. İ., Ismailov, Z. I. (2018). Characteristic Numbers of Upper Triangular One-Band Block Operator Matrices. Turkish Journal of Mathematics and Computer Science, Volume: 10 Special Issue. https://ajindex.com/articles/1324918

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Kaynakça (29)

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  2. Akhmedov, A. M., El-Shabrawy, S. R., Notes on the Spectrum of Lower Triangular Double-Band Matrices, Thai Journal of Mathematics, 10(2012), 415-421.
  3. Baliarsingh, P., Dutta, S., On a Spectral Classi cation of the operator r v Over the Sequence Space c0, Proc. Math. Acad. Sci. India, Sect. A Phys., 84, 4(2014), 555-561.
  4. Başar, F., Karaisa, A., Spectrum and Fine Spectrum of the Generalized Difference Operator De ned by Double Sequential Upper Band Matrix Over the Sequence Spaces lp; (1 < p < 1); Hacet. J. Math., 44, 6(2015), 1315-1332.
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  8. El-Shabrawy, S. R., Spectra and Fine Spectra of Certain Lower Triangular Double-Band Matrices as Operator on c0, Journal of Inequalities and Applications, 241, 1(2014), 2-9.
  9. Gohberg, I., Goldberg, S., Kaashock, M. A., Basic Classes of Linear Operators, Springer, 1990.
  10. Ismailov, Z. I., Otkun Çevik, E., Unluyol, E., Compact Inverses of Multipoint Normal Differential Operators for First Order, Electronic Journal of Differential Equations, 89(2011), 1-11.
  11. Jeribi, A., Spectral Theory and Applications of Linear Operators and Block Operator Matrices, Springer, 2015.
  12. Karakaya, V., Dzh. Manafov, M., Simsek, N., On the Fine Spectrum of the Second Order Di erence Operator Over the Sequence Spaces lp and bvp; (1 < p < 1), Mathematical and Computer Modelling, 55(2012), 426-431.
  13. Kochubei, A. N., Symmetric Operators and Nonclassical Spectral Problems, Mat. Zametki, 25, 3(1979), 425-434.
  14. Langer, M., Strauss, M., Spectral Properties of Unbounded j􀀀Self Adjoint Block Operator Matrices, arXiv:1410.1213 [math.SP], 1-37.
  15. Nagel, R., The Spectrum of Unbounded Operator Matrices with Non-Diagonal Domain, Journal of Functional Analysis, 89(1990), 291-302.
  16. Otkun Çevik, E., Ismailov, Z. I., Spectrum of the Direct Sum of Operators, Electronic Journal of Differential Equations, 210(2012), 1-8.
  17. Tretter, Ch., Spectral Theory of Block Operator Matrices and Applications, Londan: Imperial CollegePress, 264p, 2008.
  18. Tripathy, B. C., Das, R., Spectrum and Fine Spectrum of the Lower Triangular Matrix B(r; o; s) Over the Sequences Spaces, Appl. Math. Inf. Sci, 9, 4(2015), 2139-2145.
  19. Zettl, A., Sturm-Liouville Theory, First ed., Amer. Math. Survey and Monographs vol. 121, USA, 2005.
  20. Akhmedov, A. M., El-Shabrawy, S. R., On the Spectrum of the Generalized Lower Triangle Double-Band Matrices, Lviv, (2010), 17-21.
  21. Akhmedov, A. M., El-Shabrawy, S. R., Notes on the Spectrum of Lower Triangular Double-Band Matrices, Thai Journal of Mathematics, 10(2012), 415-421.
  22. Baliarsingh, P., Dutta, S., On a Spectral Classi cation of the operator r v Over the Sequence Space c0, Proc. Math. Acad. Sci. India, Sect. A Phys., 84, 4(2014), 555-561.
  23. El-Shabrawy, S. R., Spectra and Fine Spectra of Certain Lower Triangular Double-Band Matrices as Operator on c0, Journal of Inequalities and Applications, 241, 1(2014), 2-9.
  24. Ismailov, Z. I., Otkun Çevik, E., Unluyol, E., Compact Inverses of Multipoint Normal Differential Operators for First Order, Electronic Journal of Differential Equations, 89(2011), 1-11.
  25. Karakaya, V., Dzh. Manafov, M., Simsek, N., On the Fine Spectrum of the Second Order Di erence Operator Over the Sequence Spaces lp and bvp; (1 < p < 1), Mathematical and Computer Modelling, 55(2012), 426-431.
  26. Kochubei, A. N., Symmetric Operators and Nonclassical Spectral Problems, Mat. Zametki, 25, 3(1979), 425-434.
  27. Langer, M., Strauss, M., Spectral Properties of Unbounded j􀀀Self Adjoint Block Operator Matrices, arXiv:1410.1213 [math.SP], 1-37.
  28. Nagel, R., The Spectrum of Unbounded Operator Matrices with Non-Diagonal Domain, Journal of Functional Analysis, 89(1990), 291-302.
  29. Otkun Çevik, E., Ismailov, Z. I., Spectrum of the Direct Sum of Operators, Electronic Journal of Differential Equations, 210(2012), 1-8.