JournalsrlmVol. 35, No. 1pp. 1–15

A local surjection theorem with continuous inverse in Banach spaces

  • Ivar Ekeland

    Université Paris Dauphine-PSL, Paris, France

  • Éric Séré

    Université Paris Dauphine-PSL, Paris, France
A local surjection theorem with continuous inverse in Banach spaces cover
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Abstract

In this paper, we prove a local surjection theorem with continuous right-inverse for maps between Banach spaces, and we apply it to a class of inversion problems with loss of derivatives.

Cite this article

Ivar Ekeland, Éric Séré, A local surjection theorem with continuous inverse in Banach spaces. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 35 (2024), no. 1, pp. 1–15

DOI 10.4171/RLM/1028