NEGATIVE RESULTS ON THE NASH-MOSER THEOREM FOR KOTHE SEQUENCE-SPACES AND FOR SPACES OF ULTRADIFFERENTIABLE FUNCTIONS

Authors
POPPENBERG M
Citation
M. Poppenberg, NEGATIVE RESULTS ON THE NASH-MOSER THEOREM FOR KOTHE SEQUENCE-SPACES AND FOR SPACES OF ULTRADIFFERENTIABLE FUNCTIONS, Manuscripta mathematica, 90(4), 1996, pp. 465-478
Citations number
31
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Manuscripta mathematica → ACNP
ISSN journal
00252611
Volume
90
Issue
4
Year of publication
1996
Pages
465 - 478
Database
ISI
SICI code
0025-2611(1996)90:4<465:NROTNT>2.0.ZU;2-1
Abstract
Counterexamples to the Nash-Moser inverse function theorem are given f or Kothe sequence spaces extending a result of Lojasiewics and Zehnder . As an application also negative results are obtained for spaces of u ltradifferentiable functions of Beurling type, in particular for the G evrey classes.