Quasi-Fredholm and Semi-B-Fredholm Linear Relations

  • Teresa Álvarez


Quasi-Fredholm and semi-B-Fredholm linear relations in Banach spaces are defined in terms of conditions on their ranges and null spaces. We analyze the behavior of the powers of such linear relations and prove that these classes of linear relations define a spectrum that satisfies the polynomial spectral mapping property. Our results are used to calculate the quasi-Fredholm and the semi-B-Fredholm spectra of some linear relations.


Quasi-Fredholm linear relation semi-B-Fredholm linear relation polynomial spectral mapping theorem 

Mathematics Subject Classification



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Copyright information

© Springer International Publishing 2016

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of OviedoOviedoSpain

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