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Perturbations Results for Some Classes Related to Browder Linear Relations and Applications

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Abstract

This paper is devoted to the investigation of the perturbation problem of right (left) Browder linear relations and lower (upper) semi-Browder linear relations under commuting compact linear relations. Further, our results are used to show the invariance of Browder’s spectrum.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Sciences of Sfax, University of Sfax, B.P. 1171, 3000, Sfax, Tunisia

    Fatma Fakhfakh

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  1. Fatma Fakhfakh
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Correspondence to Fatma Fakhfakh.

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Communicated by Amol Sasane.

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Fakhfakh, F. Perturbations Results for Some Classes Related to Browder Linear Relations and Applications. Complex Anal. Oper. Theory 12, 2003–2018 (2018). https://doi.org/10.1007/s11785-017-0727-8

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  • DOI: https://doi.org/10.1007/s11785-017-0727-8

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