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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm180-1-7,
author = {Dana Gheorghe},
title = {Stability of the index of a linear relation under compact perturbations},
journal = {Studia Mathematica},
volume = {178},
year = {2007},
pages = {95-102},
zbl = {1119.47013},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm180-1-7}
}
Dana Gheorghe. Stability of the index of a linear relation under compact perturbations. Studia Mathematica, Tome 178 (2007) pp. 95-102. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm180-1-7/