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INVERSE MAPPING THEOREM ON COORDINATE SPACES

Published online by Cambridge University Press:  25 July 2001

TSOY-WO MA
TSOY-WO MA
Affiliation:
Department of Mathematics and Statistics, University of Western Australia, Nedlands, W.A. 6907, Australia; [email protected]
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Abstract

A mean-value theorem, an inverse mapping theorem and an implicit mapping theorem are established here in a class of complex locally convex spaces, including the spaces of test functions in distribution theory. Our main tool is the integral formula and the invariance of the domain, derived from topological degrees, rather than from fixed points of contractions in Banach spaces.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 33 , Issue 4 , July 2001 , pp. 473 - 482
Copyright
© The London Mathematical Society 2001

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