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On the finite spectra of the difference operator nabla over the sequence space lp, (1

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Języki publikacji
EN
Abstrakty
EN
In the present paper, the norm of the bounded linear operator nabla acting on the sequence space Lp has been found and the fine spectrum with respect to Goldberg's classification of the difference operator nabla over the sequence space Lp has been determined, where 1 < p < oo.
Wydawca
Rocznik
Strony
585--595
Opis fizyczny
Bibliogr. 17 poz.
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autor
autor
  • Baku State University, Department of Mech. & Math., Z. Khalilov str., 23, P.O. Box 370145 Baku/Azerbaijan, ali_akhmedov@hotmail.com
Bibliografia
  • [1] A. M. Akhmedov and F. Başar, On spectrum of the Cesaro operator, Proc. Inst. Math. Mech. Natl. Acad. Sci. Azerb. 19 (2003), 3-8.
  • [2] A. M. Akhmedov and F. Başar, On the fine spectrum of the Cesaro operator in c0, Math. J. Ibaraki Univ. 36 (2004), 25-32.
  • [3] B. Altay and F. Başar, On the fine spectrum of the difference operator on c0 and c, Inform. Sci. 168 (2004), 217-224.
  • [4] F. Başar and B. Altay, On the space of sequences of p-bounded variation and related matrix mappings, Ukrainian Math. J. 55 (1) (2003), 136-147.
  • [5] C. Coşun The spectra and fine spectra for p-Cesaro operators, Turkish J. Math. 21 (1997), 207-212.
  • [6] S. Goldber g, Unbounded Lineer Operators, Dover Publications Inc. New York, 1985.
  • [7] M. Gonz`aez, The fine spectrum of the Cesaro operator in lp (1 < p < 1), Arch. Math. 44 (1985), 355-358.
  • [8] E. Kreyszi g, Introductory Functional Analysis with Applications, John Wiley & Sons Inc. New York-Chichester-Brisbane-Toronto, 1978.
  • [9] B. de Malafosse, Properties of some sets of sequences and application to the spaces of bounded difference sequences of order µ, Hokkaido Math. J. 31 (2002), 283-299.
  • [10] J. T. Okutoyi, On the spectrum of C1 as an operator on bv, Commun. Fac. Sci. Univ. Ank. Ser. A1 41 (1992), 197-207.
  • [11] J. B. Reade, On the spectrum of the Cesaro operator, Bull. Lond. Math. Soc. 17 (1985), 263-267.
  • [12] B. E. Rhoades, The fine spectra for weighted mean operators, Pacific J. Math. 104 (1) (1983), 219-230.
  • [13] B. E. Rhoades, The spectrum of weighted mean operators, Canad. Math. Bull. 30 (4) (1987), 446-449.
  • [14] B. E. Rhoades, The fine spectra of some weighted mean operators in B(lp), Integral Equat. Operator Theory 12 (1989), 82-98.
  • [15] B. E. Rhoades, The spectra of weighted mean operators on bv0, J. Austral. Math. Soc. (Series A) 52 (1992), 242-250.
  • [16] M. Yildirim, On the spectrum and fine spectrum of the compact Rhally operators, Indian J. Pure Appl. Math. 27 (8) (1996), 779-784.
  • [17] R. B. Wenger, The fine spectra of Hölder summability operators, Indian J. Pure Appl. Math. 6 (1975), 695-712.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA5-0015-0012
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