The Euler characteristic is stable under compact perturbations

Ambrozie, Calin-Grigore

doi:10.1090/S0002-9939-96-03283-2

The Euler characteristic is stable under compact perturbations

Author: Calin-Grigore Ambrozie
Journal: Proc. Amer. Math. Soc. 124 (1996), 2041-2050
MSC (1991): Primary 47A53; Secondary 47A55
DOI: https://doi.org/10.1090/S0002-9939-96-03283-2
MathSciNet review: 1322909
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Abstract: We prove in the general case the stability under compact perturbations of the index (i.e. the Euler characteristic) of a Fredholm complex of Banach spaces. In particular, we obtain the corresponding stability property for Fredholm multioperators. These results are the consequence of a similar statement, concerning more general objects called Fredholm pairs.

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