Best Fredholm perturbation theorems
M. Schechter, Robert Whitley (1988)
Studia Mathematica
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M. Schechter, Robert Whitley (1988)
Studia Mathematica
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Mariana Haragus, Arnd Scheel (2006)
Annales de l'I.H.P. Analyse non linéaire
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Belk, M., Kazmierczak, B., Volpert, V. (2005)
International Journal of Mathematics and Mathematical Sciences
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Dana Gheorghe (2007)
Studia Mathematica
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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.
Robert Israel (1974)
Studia Mathematica
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Gleason, Jim (2001)
Georgian Mathematical Journal
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Falaleev, M.V., Sidorov, N.A. (2005)
Lobachevskii Journal of Mathematics
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A. Buraczewski (1974)
Colloquium Mathematicae
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Valter Šeda (1983)
Annales Polonici Mathematici
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Dana Gheorghe (2008)
Studia Mathematica
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We give a corrected version of the main result from the paper cited in the title. We obtain necessary and sufficient conditions for the stability of the topological index of an open linear relation under compact perturbations
David Ruelle (1989)
Recherche Coopérative sur Programme n°25
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David Ruelle (1989)
Recherche Coopérative sur Programme n°25
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