Stability of the index of a linear relation under compact perturbations
Dana Gheorghe
Studia Mathematica, Tome 178 (2007), p. 95-102 / Harvested from The Polish Digital Mathematics Library

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.

Publié le : 2007-01-01
EUDML-ID : urn:eudml:doc:284675
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     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}
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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/