An implicit function theorem for Banach spaces and some applications

Neeb KH, An J (2009)

Publication Type: Journal article, Original article

Publication year: 2009

Journal

Mathematische Zeitschrift Springer Verlag (Germany)

Publisher: Springer Verlag (Germany)

Book Volume: 262

Pages Range: 627 - 643

Journal Issue: 3

DOI: 10.1007/s00209-008-0394-6

Abstract

We prove a generalized implicit function theorem for Banach spaces, without the usual assumption that the subspaces involved being complemented. Then we apply it to the problem of parametrization of fibers of differentiable maps, the Lie subgroup problem for Banach–Lie groups, as well as Weil’s local rigidity for homomorphisms from finitely generated groups to Banach–Lie groups.

Authors with CRIS profile

Karl Hermann Neeb Lehrstuhl für Mathematik (Lie-Gruppen und Darstellungstheorie)

How to cite

APA:

Neeb, K.H., & An, J. (2009). An implicit function theorem for Banach spaces and some applications. Mathematische Zeitschrift, 262(3), 627 - 643. https://dx.doi.org/10.1007/s00209-008-0394-6

MLA:

Neeb, Karl Hermann, and Jinpeng An. "An implicit function theorem for Banach spaces and some applications." Mathematische Zeitschrift 262.3 (2009): 627 - 643.

BibTeX: Download