On the computation of the coincidence index in the critical case
(1974) Societe Scientifique de Bruxelles. Annales. Sciences Mathematiques, Astronomiques et Physiques — Vol. 88, n° 2, p. 176-182 (1974)
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- Abstract
- Let X, Z be normal vector spaces, L: dom L sub X a linear Fredholm operator of Fredholm index zero and N: Omega sub X rarr Z a continuous operator such that N= Sigma /sub i=0//sup k/ C/sub n+i/+R with C/sub n+i/ homogeneous of order /b n/+/b i/ and R of order greater than /b n/+/b k/. If some degeneracy assumption holds for each C/sub n+i/(/b i/ ne /b k/) on ker L but not for C/sub n+k/, then we prove that the coincidence index of the pair (L, N) in zero is well defined and we reduce its computation to a Brouwer index of some mapping depending upon C/sub n+k/ and defined on ker L.
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Laloux, B. (1974). On the computation of the coincidence index in the critical case. Societe Scientifique de Bruxelles. Annales. Sciences Mathematiques, Astronomiques et Physiques, 88(2), 176-182. https://hdl.handle.net/2078.5/149304 (Original work published 1974)