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The Class of B-Fredholm Linear Relations

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Abstract

We establish in this paper a Kato-type decomposition of quasi-Fredholm relations on Banach spaces. This generalizes the corresponding result of Labrousse for Hilbert space relations. The result is then applied to study and give some properties of the class of B-Fredholm linear relations.

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Authors and Affiliations

  1. Département de Mathématiques, Faculté des Sciences de Sfax, Université de Sfax, B.P. 1171, 3000, Sfax, Tunisie

    Yosra Chamkha & Maher Mnif

Authors
  1. Yosra Chamkha
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  2. Maher Mnif
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Correspondence to Maher Mnif.

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Communicated by Daniel Aron Alpay.

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Chamkha, Y., Mnif, M. The Class of B-Fredholm Linear Relations. Complex Anal. Oper. Theory 9, 1681–1699 (2015). https://doi.org/10.1007/s11785-014-0438-3

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  • DOI: https://doi.org/10.1007/s11785-014-0438-3

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