A note on the inverse function theorem of Nash and Moser

The Nash-Moser inverse function theorem is proved for different kind of differentiabilities.

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Bibliographic Details
Main Author: Mikael Lindstrom
Format: Article
Language:English
Published: Wiley 1986-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171286000443
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author Mikael Lindstrom
author_facet Mikael Lindstrom
author_sort Mikael Lindstrom
collection DOAJ
description The Nash-Moser inverse function theorem is proved for different kind of differentiabilities.
format Article
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 1986-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-12b277ae1b5345cfb02f3e611386cf752025-08-20T03:54:20ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251986-01-019236136410.1155/S0161171286000443A note on the inverse function theorem of Nash and MoserMikael Lindstrom0Department of Mathematics, Åbo Akademi, Åbo SF-20500, FinlandThe Nash-Moser inverse function theorem is proved for different kind of differentiabilities.http://dx.doi.org/10.1155/S0161171286000443continuous convergencecoreflective subcategorygraded spacesmoothing operatorstame mapCα∞-differentiability.
spellingShingle Mikael Lindstrom
A note on the inverse function theorem of Nash and Moser
International Journal of Mathematics and Mathematical Sciences
continuous convergence
coreflective subcategory
graded space
smoothing operators
tame map
Cα∞-differentiability.
title A note on the inverse function theorem of Nash and Moser
title_full A note on the inverse function theorem of Nash and Moser
title_fullStr A note on the inverse function theorem of Nash and Moser
title_full_unstemmed A note on the inverse function theorem of Nash and Moser
title_short A note on the inverse function theorem of Nash and Moser
title_sort note on the inverse function theorem of nash and moser
topic continuous convergence
coreflective subcategory
graded space
smoothing operators
tame map
Cα∞-differentiability.
url http://dx.doi.org/10.1155/S0161171286000443
work_keys_str_mv AT mikaellindstrom anoteontheinversefunctiontheoremofnashandmoser
AT mikaellindstrom noteontheinversefunctiontheoremofnashandmoser