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Spectral Mapping Theorem for Rakocević and Schmoeger Essential Spectra of a Multivalued Linear Operator

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Abstract

The purpose of this paper is to investigate a detailed treatment of some subsets of essential spectrum and following we will establish the spectral mapping theorems essential approximate point spectrum and defect spectrum of multivalued linear operator.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Sciences of Sfax, University of Sfax, Route de soukra Km 3.5, B. P. 1171, 3000, Sfax, Tunisia

    Faiçal Abdmouleh, Aymen Ammar & Aref Jeribi

  2. Department of Mathematics, University of Oviedo, 33007, Oviedo, Asturias, Spain

    Teresa Àlvarez

Authors
  1. Faiçal Abdmouleh
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  2. Teresa Àlvarez
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  3. Aymen Ammar
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  4. Aref Jeribi
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Correspondence to Aymen Ammar.

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Abdmouleh, F., Àlvarez, T., Ammar, A. et al. Spectral Mapping Theorem for Rakocević and Schmoeger Essential Spectra of a Multivalued Linear Operator. Mediterr. J. Math. 12, 1019–1031 (2015). https://doi.org/10.1007/s00009-014-0437-7

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  • DOI: https://doi.org/10.1007/s00009-014-0437-7

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