Skip to main content
Log in

B-Browder spectra and localized SVEP

  • Published:
Rendiconti del Circolo Matematico di Palermo Aims and scope Submit manuscript

Abstract

In this paper we study the relationships between the B-Browder spectra and some other spectra originating from Fredholm theory and B-Fredholm theory. This study is done by using the localized single valued extension property. In particular, we shall see that many spectra coincide in the case that a bounded operator T, or its dual T*, or both, admits the single valued extension property.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Aiena, P.: Fredholm and Local Spectral Theory, with Application to Multipliers, Kluwer Acad. Publishers, 2004

  2. Aiena, P.: Classes of Operators Satisfying a-Weyl’s theorem, Studia Math., 169 (2005), 105–122

    Article  MATH  MathSciNet  Google Scholar 

  3. Aiena, P.: Quasi Fredholm operators and localized SVEP, Acta Sci. Mat. (Szeged), 73 (2007), 251–263

    MATH  MathSciNet  Google Scholar 

  4. Aiena, P., Biondi M.T., Carpintero C.: On Drazin invertibility, Proc. Amer. Math. Soc., 136, (2008), 2839–2848

    Article  MATH  MathSciNet  Google Scholar 

  5. Aiena, P., Carpintero C.: Single valued extension property and semi-Browder spectra, Acta Sci. Math. (Szeged), 20 (2003), 1027–1040

    Google Scholar 

  6. Aiena, P., Miller, T.L.: On generalized a-Browder’s theorem, Studia Math., 180(3) (2007), 285–300

    MATH  MathSciNet  Google Scholar 

  7. Aiena, P., Rosas, E.: The single valued extension property at the points of the approximate point spectrum, J. Math. Anal. Appl., 279(1), (2003), 180–188

    Article  MATH  MathSciNet  Google Scholar 

  8. Aiena, P., Sanabria, J.E.: On left and right poles of the resolvent, to appear in Acta Sci. Math. (Szeged),(2008)

  9. Berkani, M.: On a class of quasi-Fredholm operators, Int. Equa. Oper. Theory, 34 (1999), 244–249

    Article  MATH  MathSciNet  Google Scholar 

  10. Berkani, M.: Restriction of an operator to the range of its powers, Studia Math., 140 (2000), 163–175

    MATH  MathSciNet  Google Scholar 

  11. Berkani, M., Sarih, M.: On semi B-Fredholm operators, Glasgow Math. J., 43 (2001), 457–465

    Article  MATH  MathSciNet  Google Scholar 

  12. Finch, J.K.: The single valued extension property on a Banach space, Pacific J. Math., 58 (1975), 61–69

    MATH  MathSciNet  Google Scholar 

  13. Heuser, H.: Functional Analysis, Marcel Dekker, New York, 1982

    MATH  Google Scholar 

  14. Laursen, K.B., Neumann, M.M.: Introduction to local spectral theory, Clarendon Press, Oxford, 2000

    MATH  Google Scholar 

  15. Mbekhta, M., Müller, V.: On the axiomatic theory of the spectrum II, Studia Math., 119 (1996), 129–147

    MATH  MathSciNet  Google Scholar 

  16. Miller, T.L., Miller, V.G., Smith, R.C.: Bishop’s property (β) and Cesáro operator, J. London Math. Soc., 58 (1998), 197–207

    Article  MATH  MathSciNet  Google Scholar 

  17. Rakočevič, V.: Semi-Browder operators and perturbations, Studia Math., 122 (1996), 131–137

    Google Scholar 

  18. Rakočevič, V.: Semi-Fredholm operators with finite ascent or descent and perturbations, Proc. Amer. Math. Soc., 123 (1995), 3823–3825

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Carlos R. Carpintero.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Carpintero, C.R., García, O., Rosas, E.R. et al. B-Browder spectra and localized SVEP. Rend. Circ. Mat. Palermo 57, 239–254 (2008). https://doi.org/10.1007/s12215-008-0017-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12215-008-0017-4

Keywords

Mathematics Subject Classification (2000)

Navigation