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Polaroid operators and Weyl type theorems

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Applied Mathematics in Tunisia

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 131))

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Abstract

Weyl type theorems have been proved for a considerably large number of classes of operators. In this work, after introducing the class of polaroid operators and some notions from local spectral theory, we determine a theoretical and general framework from which Weyl type theorems may be promptly established for many of these classes of operators. The theory is exemplified by given several examples of hereditarily polaroid operators.

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Author information

Authors and Affiliations

  1. Dipartimento di Metodi e Modelli Matematici, Facoltà di Ingegneria, Università di Palermo, Viale delle Scienze, I-90128, Palermo, Italy

    Pietro Aiena

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  1. Pietro Aiena
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Correspondence to Pietro Aiena .

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Editors and Affiliations

  1. Department of Mathematics, University of Sfax, Sfax, Tunisia

    Aref Jeribi

  2. Department of Mathematics, University of Sfax, Sfax, Tunisia

    Mohamed Ali Hammami

  3. Department of Mathematics, University of Sfax, Sfax, Tunisia

    Afif Masmoudi

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Aiena, P. (2015). Polaroid operators and Weyl type theorems. In: Jeribi, A., Hammami, M., Masmoudi, A. (eds) Applied Mathematics in Tunisia. Springer Proceedings in Mathematics & Statistics, vol 131. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-18041-0_1

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