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Genelleştirilmiş Üst Üçgensel Double-Bant Matrisi Delta^uv nin c_0 ve c Dizi Uzayları Üzerindeki Spektral Ayrışımı

Year 2016, Volume: 6 Issue: 1, 31 - 43, 30.06.2016

Nuh Durna

Abstract

Bir sınırlı lineer operatörün spektrumunun çok farklı yollarla ayrışımı vardır; bunlardan bazıları fiziğin uygulamalarına uyarlanmıştır (özellikle, kuantum mekaniği). Bu çalışmada genelleştirilmiş üst üçgensel double-bant matrisi Delta^uv  nin c_0 ve c dizi uzayları üzerindeki yaklaşık nokta spektrumunu, sıkıştırma spektrumunu ve eksik spektrumunu belirledik.

Keywords

Üst üçgensel double-bant matrisi Yaklaşık nokta spektrum Sıkıştırma spektrum Eksik spektrum.

References

  • Akhmedov, A. M., El-Shabrawy, S. R., Al-Azhar Univ. Eng. J., JAUES (speacial issue), 5(9), 54-60, 2010.
  • Akhmedov, A. M. El-Shabrawy, S. R., Applied Mathematics & Information Sciences, 5(3), 635-654, 2011.
  • Yildirim, M., Indian J. Pure Appl. Math., 29, 1301-1309, 1998.
  • Yildirim, M., Turkish J. Math., 26(3), 273-282, 2002.
  • Yildirim, M., Indian J. Pure Appl. Math., 32, 1443-1452, 2003.
  • Altay, B., Başar F., Inform. Sci., 168, 217-224, 2004.
  • Appell, J., Pascale, E. D., Vignoli, A., Nonlinear Spectral Theory, Walter de Gruyter ·Berlin New York, 2002.
  • Goldberg, S., Unbounded Linear Operators, McGraw Hill, New York, 1966.
  • Durna, N., Yildirim, M., Math. Commun., 16, 519-530, 2011.
  • Altun, M. Karakaya, V., Journal of Computational and Applied Mathematics, 234, 1387-1394, 2010.
  • Fathi, J., Int. J. Nonlinear Anal. Appl., 7(1), 31-43, 2016.

Subdivision of the Spectra for the Generalized Upper Triangular Double-Band Matrices ∆^uv over the Sequence Spaces c_0 and c

Year 2016, Volume: 6 Issue: 1, 31 - 43, 30.06.2016

Nuh Durna

Abstract

There are many different ways to subdivide the spectrum of a bounded linear operator; some of them are motivated by applications to physics (in particular, quantum mechanics). In this study, we determine the approximate point spectrum, compression spectrum and defect spectrum of the generalized upper triangular double-band matrices ∆^uv over the sequence spaces c_0 and c.

Keywords

Upper triangular double-band matrices Approximate point spectrum Compression spectrum Defect spectrum.

References

  • Akhmedov, A. M., El-Shabrawy, S. R., Al-Azhar Univ. Eng. J., JAUES (speacial issue), 5(9), 54-60, 2010.
  • Akhmedov, A. M. El-Shabrawy, S. R., Applied Mathematics & Information Sciences, 5(3), 635-654, 2011.
  • Yildirim, M., Indian J. Pure Appl. Math., 29, 1301-1309, 1998.
  • Yildirim, M., Turkish J. Math., 26(3), 273-282, 2002.
  • Yildirim, M., Indian J. Pure Appl. Math., 32, 1443-1452, 2003.
  • Altay, B., Başar F., Inform. Sci., 168, 217-224, 2004.
  • Appell, J., Pascale, E. D., Vignoli, A., Nonlinear Spectral Theory, Walter de Gruyter ·Berlin New York, 2002.
  • Goldberg, S., Unbounded Linear Operators, McGraw Hill, New York, 1966.
  • Durna, N., Yildirim, M., Math. Commun., 16, 519-530, 2011.
  • Altun, M. Karakaya, V., Journal of Computational and Applied Mathematics, 234, 1387-1394, 2010.
  • Fathi, J., Int. J. Nonlinear Anal. Appl., 7(1), 31-43, 2016.
There are 11 citations in total.

Details

Journal Section Mathematics
Authors

Nuh Durna

Publication Date June 30, 2016
Submission Date January 23, 2016
Published in Issue Year 2016 Volume: 6 Issue: 1

Cite

APA Durna, N. (2016). Subdivision of the Spectra for the Generalized Upper Triangular Double-Band Matrices ∆^uv over the Sequence Spaces c_0 and c. Adıyaman University Journal of Science, 6(1), 31-43.
AMA Durna N. Subdivision of the Spectra for the Generalized Upper Triangular Double-Band Matrices ∆^uv over the Sequence Spaces c_0 and c. ADYU J SCI. June 2016;6(1):31-43.
Chicago Durna, Nuh. “Subdivision of the Spectra for the Generalized Upper Triangular Double-Band Matrices ∆^uv over the Sequence Spaces c_0 and C”. Adıyaman University Journal of Science 6, no. 1 (June 2016): 31-43.
EndNote Durna N (June 1, 2016) Subdivision of the Spectra for the Generalized Upper Triangular Double-Band Matrices ∆^uv over the Sequence Spaces c_0 and c. Adıyaman University Journal of Science 6 1 31–43.
IEEE N. Durna, “Subdivision of the Spectra for the Generalized Upper Triangular Double-Band Matrices ∆^uv over the Sequence Spaces c_0 and c”, ADYU J SCI, vol. 6, no. 1, pp. 31–43, 2016.
ISNAD Durna, Nuh. “Subdivision of the Spectra for the Generalized Upper Triangular Double-Band Matrices ∆^uv over the Sequence Spaces c_0 and C”. Adıyaman University Journal of Science 6/1 (June 2016), 31-43.
JAMA Durna N. Subdivision of the Spectra for the Generalized Upper Triangular Double-Band Matrices ∆^uv over the Sequence Spaces c_0 and c. ADYU J SCI. 2016;6:31–43.
MLA Durna, Nuh. “Subdivision of the Spectra for the Generalized Upper Triangular Double-Band Matrices ∆^uv over the Sequence Spaces c_0 and C”. Adıyaman University Journal of Science, vol. 6, no. 1, 2016, pp. 31-43.
Vancouver Durna N. Subdivision of the Spectra for the Generalized Upper Triangular Double-Band Matrices ∆^uv over the Sequence Spaces c_0 and c. ADYU J SCI. 2016;6(1):31-43.

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