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Currently displaying 1 – 2 of 2

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Stability of the index of a linear relation under compact perturbations

Dana Gheorghe — 2007

Studia Mathematica

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.

Erratum to "Stability of the index of a linear relation under compact perturbations" (Studia Math. 180 (2007), 95-102)

Dana Gheorghe — 2008

Studia Mathematica

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

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