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Relationship Between the Kato Spectrum and the Goldberg Spectrum of a Linear Relation

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Abstract

A classical result of J.Ph. Labrousse (Rev. Roum. Math. Pures Et Appl. XXV(9):1391–1394, 1980) concerning the symmetric difference between the Kato spectrum and the Goldberg spectrum of closed operators in Hilbert spaces is extended to the case of multivalued linear operators in Banach spaces.

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Authors and Affiliations

  1. Department of mathematics, University of Oviedo, 33007, Oviedo, Asturias, Spain

    T. Álvarez

  2. Department of Mathematics and Informatics, National Polytechnic School of Oran (ex. ENSET of Oran), BP 1523, El M’naouar-Oran, Oran, Algeria

    M. Benharrat

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  1. T. Álvarez
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  2. M. Benharrat
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Correspondence to M. Benharrat.

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Álvarez, T., Benharrat, M. Relationship Between the Kato Spectrum and the Goldberg Spectrum of a Linear Relation. Mediterr. J. Math. 13, 365–378 (2016). https://doi.org/10.1007/s00009-014-0481-3

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  • DOI: https://doi.org/10.1007/s00009-014-0481-3

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