Subdivisions of the spectra for the operator D(r, 0, 0, s) over certain sequence spaces
DOI:
https://doi.org/10.5269/bspm.v34i1.22759Palabras clave:
Fine Spectrum, approximate point spectrum, defect spectrum and compression spectrumResumen
In this paper we have examined the approximate point spectrum, defect spectrum and compression spectrum of the operator D(r, 0, 0, s)on the sequence spaces c0, c, â„“p and bvp.Referencias
1. B. Altay and F. Basar: On the fine spectra of the difference operator . on c0 and c, Information Sci.; 168(2004), 217-224.
2. B. Altay and F. Basar: On the fine spectra of the generalized difference operator B(r, s) over the sequence space c0 and c, International Jour. Math. Sci.; 18(2005),3005-3013.
3. B. Altay and F. Basar: The fine spectrum of the matrix domain of the difference . operator on the sequence space lp(0 < p < 1), Communication Math. Anal.; 2(2)(2007), 1-11.
4. J. Appell, E. Pascale, A. Vignoli: Nonlinear spectral theory, Walter de Gruyter, Berlin, New York, 2004.
5. F. Basar, N. Durna, M. Yildirim: Subdivisions of the spectra for generalized difference operator over certain sequence spaces; Thai. Jour. Math., 9(2)(2011), 285-295.
6. S. Goldberg, Unbounded linear operators: Dover publications Inc. New York, 1985.
7. H. Kizmaz: On Certain Sequence Spaces, Canad. Math.Bull.;24(1981), 169-176.
8. B.C. Tripathy and A. Esi : A new type of difference sequence spaces; International Jour. Sci. Tech.; 1(1), (2006),11-14.
9. B.C. Tripathy and R. Das: Spectra of the Rhaly operator on the sequence space bv0 n l8; Boletim da Sociedade Paranaense de Matemática, 32(1)(2014), 263-275.
10. B.C. Tripathy and A. Paul : The spectrum of the operator D(r, 0, 0, s) over the sequence spaces c0 and c; Kyungpook Math.Jour., 53(2013), 247-256.
11. B.C. Tripathy and A. Paul : The spectrum of the operator D(r, 0, 0, s) over the sequence spaces lp and bvp; Hacettepe Journal of Mathematics and Statistics, 43(3)(2014), 425-434.
12. B.C.Tripathy and A.Paul: Spectrum of the operator B(f, g) on the vector valued sequence space c0(X), Bol. Soc. Paran. Math., (3s.) 31(1)(2013), 105-111.
13. B.C. Tripathy and P. Saikia: On the spectrum of the Cesáro operator C1 on bv n l8, Math. Slovaca, 63(3) (2013), 563-572.
2. B. Altay and F. Basar: On the fine spectra of the generalized difference operator B(r, s) over the sequence space c0 and c, International Jour. Math. Sci.; 18(2005),3005-3013.
3. B. Altay and F. Basar: The fine spectrum of the matrix domain of the difference . operator on the sequence space lp(0 < p < 1), Communication Math. Anal.; 2(2)(2007), 1-11.
4. J. Appell, E. Pascale, A. Vignoli: Nonlinear spectral theory, Walter de Gruyter, Berlin, New York, 2004.
5. F. Basar, N. Durna, M. Yildirim: Subdivisions of the spectra for generalized difference operator over certain sequence spaces; Thai. Jour. Math., 9(2)(2011), 285-295.
6. S. Goldberg, Unbounded linear operators: Dover publications Inc. New York, 1985.
7. H. Kizmaz: On Certain Sequence Spaces, Canad. Math.Bull.;24(1981), 169-176.
8. B.C. Tripathy and A. Esi : A new type of difference sequence spaces; International Jour. Sci. Tech.; 1(1), (2006),11-14.
9. B.C. Tripathy and R. Das: Spectra of the Rhaly operator on the sequence space bv0 n l8; Boletim da Sociedade Paranaense de Matemática, 32(1)(2014), 263-275.
10. B.C. Tripathy and A. Paul : The spectrum of the operator D(r, 0, 0, s) over the sequence spaces c0 and c; Kyungpook Math.Jour., 53(2013), 247-256.
11. B.C. Tripathy and A. Paul : The spectrum of the operator D(r, 0, 0, s) over the sequence spaces lp and bvp; Hacettepe Journal of Mathematics and Statistics, 43(3)(2014), 425-434.
12. B.C.Tripathy and A.Paul: Spectrum of the operator B(f, g) on the vector valued sequence space c0(X), Bol. Soc. Paran. Math., (3s.) 31(1)(2013), 105-111.
13. B.C. Tripathy and P. Saikia: On the spectrum of the Cesáro operator C1 on bv n l8, Math. Slovaca, 63(3) (2013), 563-572.
Descargas
Archivos adicionales
Publicado
2014-11-10
Número
Sección
Research Articles
Licencia
When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).
The journal utilize the Creative Common Attribution (CC-BY 4.0).
