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The Euler characteristic is stable under compact perturbations
Author(s):
Calin-Grigore
Ambrozie
Journal:
Proc. Amer. Math. Soc.
124
(1996),
2041-2050.
MSC (1991):
Primary 47A53;
Secondary 47A55
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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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Additional Information:
Calin-Grigore
Ambrozie
Affiliation:
Institute of Mathematics, Romanian Academy, P.O.Box 1-764 RO-70700 Bucharest, Romania
Email:
cambroz@imar.ro
DOI:
10.1090/S0002-9939-96-03283-2
PII:
S 0002-9939(96)03283-2
Keywords:
Index,
Fredholm complex of Banach spaces
Received by editor(s):
December 21, 1994
Communicated by:
Palle E. T. Jorgensen
Copyright of article:
Copyright
1996,
American Mathematical Society
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