A+ CATEGORY SCIENTIFIC UNIT

Stability of the index of a linear relation under compact perturbations

Volume 180 / 2007

Dana Gheorghe Studia Mathematica 180 (2007), 95-102 MSC: Primary 47A53; Secondary 47A06. DOI: 10.4064/sm180-1-7

Abstract

We prove the stability under compact perturbations of the algebraic index of a Fredholm linear relation with closed range acting between normed spaces. Our main tool is a result concerning the stability of the index of a complex of Banach spaces under compact perturbations.

Authors

  • Dana GheorgheFacultatea de matematica-informatica
    Universitatea din Pitesti
    Str. Targul din Vale, nr. 1
    110040 Pitesti, Arges, Romania
    and
    Université des Sciences et Technologies de Lille
    59655 Villeneuve d'Ascq Cedex, France
    e-mail

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