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On an assertion about Nash--Moser applications

2007/02/05 by Seppo I. Hiltunen, Seppo I Hiltunen, Hiltunen, Seppo I
Computer Science · Mathematics · #46A61 #FOS: Mathematics #Functional Analysis (math.FA) #Functional Equations Stability Results #Iterative Methods for Nonlinear Equations #Matrix Theory and Algorithms #math.FA #msc:46A61

paper · pdf · doi:10.48550/arxiv.math/0702063

3 pages, AmS-LaTeX; v2: some clarification of wordings

openalex publication_date 2007/02/05 · arxiv created 2007/02/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

By an example we show that Olaf Mueller's assertion about his new theorems being able to give anew some classical results previously obtained via applications of Nash--Moser type theorems is unfounded. We also give another example indicating some limitations in possible applications of related new inverse function theorems.

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