[Settfa] Tuesday 22/05, Marian Fabian

[kubis at math.cas.cz]

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 Tuesday 22nd May, 10:00am 
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 Speaker:Marian Fabian, IM CAS
 Title: On Nash-Moser-Ekeland Hard Inverse Mapping Theorem

 Abstract  
We present a criterion for local surjectivity of mappings between Frechet spaces in the spirit of a well known criterion in Banach spaces formulated by M. Fabian and D. Preiss in 1987, see [FP]. As an application, we prove a hard inverse mapping theorem, of Nash-Moser type, between Frechet spaces. The technology of our proofs was strongly influenced by a recent paper of I. Ekeland [E].
The speech is based on a forthcoming joint paper by Radek Cibulka and the lecturer. 

References:
[E]  Ivar Ekeland, An inverse function theorem in Frechet spaces, Ann. Inst. H. Poincare (2011), Volume 28, pp. 91--105.
[FP] Marian Fabian, David Preiss}, A generalization of the interior mapping theore of Clarke and Pouciau, Comment. Math. Univ. Carolinae,  (1987), Volume 28, pp. 311--324. 
 

 For more information see the seminar web page at 
 https://calendar.math.cas.cz/set-theory-and-analysis-actual .