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An Inverse Mapping Theorem in Frechet Spaces

Published online by Cambridge University Press:  20 November 2018

Henri-François Gautrin ,
Khaldoun Imam ,
Tapio Klemola  and
Jean-Marc Terrier
Henri-François Gautrin
Affiliation:
Département de Mathématiques Et Statistique, Université de Montréal
Khaldoun Imam
Affiliation:
Département de Mathématiques Et Statistique, Université de Montréal
Tapio Klemola
Affiliation:
Département de Mathématiques Et Statistique, Université de Montréal
Jean-Marc Terrier
Affiliation:
Département de Mathématiques Et Statistique, Université de Montréal
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Abstract

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Within the framework of a-differentiability, introduced by H. R. Fischer in locally convex spaces, sufficient conditions for an inverse mapping theorem between Fréchet spaces are established.

Resume

Resume

En se basant sur les propriétés de la σ-différentiabilité introduite par H. R. Fischer dans les espaces localement convexes, les auteurs établissent des conditions suffisantes pour obtenir un théorème “d'application inverse” entre deux espaces de Fréchet.

Keywords

Primary 58C20Secondary 46A06
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 29 , Issue 2 , 01 June 1986 , pp. 238 - 245
Copyright
Copyright © Canadian Mathematical Society 1986

References

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