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The G-invariant implicit function theorem in infinite dimensions II

Published online by Cambridge University Press:  14 November 2011

E. N. Dancer
E. N. Dancer
Affiliation:
Department of Mathematics, Statistics and Computing Science, University of New England, Armidale, N.S.W. 2351, Australia
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Synopsis

In this paper, we study the perturbation of zeros of maps of Banach spaces where the maps are invariant under continuous groups of symmetries. In some cases, we allow the perturbed maps partially to break the symmetries. Our results improve earlier results of the author by removing smoothness conditions on the group action. The key new idea is a regularity theorem for the zeros of invariant Fredholm maps.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 102 , Issue 3-4 , 1986 , pp. 211 - 220
Copyright
Copyright © Royal Society of Edinburgh 1986

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