Stability of the index of a linear relation under compact perturbations
Volume 180 / 2007
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.
