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The Subtle Spectral Properties

  • Ćemal B. Dolićanin
  • Anatolij B. Antonevich
Chapter

Abstract

Along with the description of the spectrum of the operator \(B\), i.e., obtaining conditions of invertibility of operators of the form \(B-\lambda I\), some more subtle properties of operators \(B-\lambda I\) are interesting in the case when \(\lambda \) belongs to the spectrum.

References

  1. 1.
    Antonevich, A., & Jakubowska, J. (2010). Weighted translation operators generated by mappings with saddle points: A model class. Journal of Mathematical Sciences, 164(4), 497–517.CrossRefMathSciNetGoogle Scholar
  2. 2.
    Antonevich, A., & Makowska, Yu. (2008). On spectral properties of weighted shift operators generated by mappings with saddle points. Complex analysis and Operator theory, 2, 215–240.Google Scholar
  3. 3.
    Antonevich, A., & Makowska, Yu. (2009). One-sided invertibility of weighted shift operator. In V. A. Sadovnichy (Ed.) Materials of the International conference “Modern Problems of Mathematics, Mechanics and their Applications”, Dedicated to the 70-th Anniversary of Rector of MSU Academy (p. 16), Moscow, March 30–April 02.Google Scholar
  4. 4.
    Makowska, J. (2010). One-side invertibility of the weighted shift operators. In P. Kielanowski, V. Buchshtaber, A. Odzijewicz, M. Shlichenmaier, & T. Voronov (Eds.), XXIX Workshop on Geometric Methods in Physics (P. 101–105). American Institute of Physics, Melville, New York.Google Scholar

Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Ćemal B. Dolićanin
    • 1
  • Anatolij B. Antonevich
    • 2
  1. 1.State University of Novi PazarNovi PazarSerbia
  2. 2.Belarusian State UniversityMinskBelarus

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