Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2022, Cilt: 51 Sayı: 6, 1674 - 1679, 01.12.2022
https://doi.org/10.15672/hujms.1035373

Öz

Kaynakça

  • [1] H. O. Fattorini, Second order linear differential equations in Banach spaces, North- Holland, Amsterdam, 1985.
  • [2] I. Ferjani, A. Jeribi and B.Krichen, Spectral properties involving generalized weakly demicompact operators, Mediterr. J. Math. 21(30), 2019.
  • [3] A. Jeribi, Spectral theory and applications of linear operators and block operator matrices, Springer, 2015.
  • [4] A. Jeribi, B. Krichen and M. Salhi, Characterization of Relatively Demicompact Operators by Means of Measures of Noncompactness, J. Korean Math. Soc. 55, 877-895, 2018.
  • [5] B. Krichen and D. O’Regan, Weakly Demicompact Linear Operators and Axiomatic Measures of Weak Noncompactness, Math. Slovaca 69, 14031412, 2019.
  • [6] C. Lizama, On the spectrum of cosine operator functions, Integral Equ. Oper. Theory 12, 713-724, 1989.
  • [7] B. Nagy, On cosine operator functions in Banach spaces, Acta Sci. Math. Szeged 36, 281-290, 1974.
  • [8] W. V. Petryshyn, Construction of fixed points of demicompact mappings in Hilbert space, J. Math. Anal. Appl. 14, 276-284, 1966.
  • [9] C. C. Travis and G. F. Webb, Cosine families and abstract non-linear second order differential equations, Acta Math. Acad. Sci. Hungar. 32, 75-96, 1978.
  • [10] V. Williams, Closed Fredholm and Semi-Fredholm Operators, Essential Spectra and Perturbations, J. Funct. Anal. 20, 1-25, 1975.

Uniformly continuous cosine families properties around weak demicompactness concept

Yıl 2022, Cilt: 51 Sayı: 6, 1674 - 1679, 01.12.2022
https://doi.org/10.15672/hujms.1035373

Öz

In this paper, we use the concept of weak demicompactness in order to give some properties for the uniformly continuous cosine families. Our theoretical results will be illustrated by investigating the spectral inclusion for a uniformly continuous cosine family for an upper semi-Fredholm spectrum.

Kaynakça

  • [1] H. O. Fattorini, Second order linear differential equations in Banach spaces, North- Holland, Amsterdam, 1985.
  • [2] I. Ferjani, A. Jeribi and B.Krichen, Spectral properties involving generalized weakly demicompact operators, Mediterr. J. Math. 21(30), 2019.
  • [3] A. Jeribi, Spectral theory and applications of linear operators and block operator matrices, Springer, 2015.
  • [4] A. Jeribi, B. Krichen and M. Salhi, Characterization of Relatively Demicompact Operators by Means of Measures of Noncompactness, J. Korean Math. Soc. 55, 877-895, 2018.
  • [5] B. Krichen and D. O’Regan, Weakly Demicompact Linear Operators and Axiomatic Measures of Weak Noncompactness, Math. Slovaca 69, 14031412, 2019.
  • [6] C. Lizama, On the spectrum of cosine operator functions, Integral Equ. Oper. Theory 12, 713-724, 1989.
  • [7] B. Nagy, On cosine operator functions in Banach spaces, Acta Sci. Math. Szeged 36, 281-290, 1974.
  • [8] W. V. Petryshyn, Construction of fixed points of demicompact mappings in Hilbert space, J. Math. Anal. Appl. 14, 276-284, 1966.
  • [9] C. C. Travis and G. F. Webb, Cosine families and abstract non-linear second order differential equations, Acta Math. Acad. Sci. Hungar. 32, 75-96, 1978.
  • [10] V. Williams, Closed Fredholm and Semi-Fredholm Operators, Essential Spectra and Perturbations, J. Funct. Anal. 20, 1-25, 1975.
Toplam 10 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Matematik
Yazarlar

Dr Hedi Benkhaled 0000-0002-6011-8575

Dr Srar Elleuch Bu kişi benim 0000-0001-6294-7505

Professor Dr. 0000-0001-6715-5996

Yayımlanma Tarihi 1 Aralık 2022
Yayımlandığı Sayı Yıl 2022 Cilt: 51 Sayı: 6

Kaynak Göster

APA Benkhaled, D. H., Elleuch, D. S., & Dr., P. (2022). Uniformly continuous cosine families properties around weak demicompactness concept. Hacettepe Journal of Mathematics and Statistics, 51(6), 1674-1679. https://doi.org/10.15672/hujms.1035373
AMA Benkhaled DH, Elleuch DS, Dr. P. Uniformly continuous cosine families properties around weak demicompactness concept. Hacettepe Journal of Mathematics and Statistics. Aralık 2022;51(6):1674-1679. doi:10.15672/hujms.1035373
Chicago Benkhaled, Dr Hedi, Dr Srar Elleuch, ve Professor Dr. “Uniformly Continuous Cosine Families Properties Around Weak Demicompactness Concept”. Hacettepe Journal of Mathematics and Statistics 51, sy. 6 (Aralık 2022): 1674-79. https://doi.org/10.15672/hujms.1035373.
EndNote Benkhaled DH, Elleuch DS, Dr. P (01 Aralık 2022) Uniformly continuous cosine families properties around weak demicompactness concept. Hacettepe Journal of Mathematics and Statistics 51 6 1674–1679.
IEEE D. H. Benkhaled, D. S. Elleuch, ve P. Dr., “Uniformly continuous cosine families properties around weak demicompactness concept”, Hacettepe Journal of Mathematics and Statistics, c. 51, sy. 6, ss. 1674–1679, 2022, doi: 10.15672/hujms.1035373.
ISNAD Benkhaled, Dr Hedi vd. “Uniformly Continuous Cosine Families Properties Around Weak Demicompactness Concept”. Hacettepe Journal of Mathematics and Statistics 51/6 (Aralık 2022), 1674-1679. https://doi.org/10.15672/hujms.1035373.
JAMA Benkhaled DH, Elleuch DS, Dr. P. Uniformly continuous cosine families properties around weak demicompactness concept. Hacettepe Journal of Mathematics and Statistics. 2022;51:1674–1679.
MLA Benkhaled, Dr Hedi vd. “Uniformly Continuous Cosine Families Properties Around Weak Demicompactness Concept”. Hacettepe Journal of Mathematics and Statistics, c. 51, sy. 6, 2022, ss. 1674-9, doi:10.15672/hujms.1035373.
Vancouver Benkhaled DH, Elleuch DS, Dr. P. Uniformly continuous cosine families properties around weak demicompactness concept. Hacettepe Journal of Mathematics and Statistics. 2022;51(6):1674-9.