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A Frobenius Theorem for Locally Convex Global Analysis

A Frobenius Theorem for Locally Convex Global Analysis  We prove a Frobenius theorem for Banach space complemented subbundles of the tangent bundle of a manifold modelled on locally convex spaces. The proof is based on an implicit function theorem for maps from locally convex spaces to Banach spaces proved in a recent paper of the author. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Monatshefte f�r Mathematik Springer Journals

A Frobenius Theorem for Locally Convex Global Analysis

Hiltunen, S.
Monatshefte f�r Mathematik , Volume 129 (2) – Feb 14, 2000
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References (4)

Publisher
Springer Journals
Copyright
Copyright © 2000 by Springer-Verlag Wien
Subject
Mathematics; Mathematics, general
ISSN
0026-9255
eISSN
1436-5081
DOI
10.1007/s006050050010
Publisher site
See Article on Publisher Site

Abstract

 We prove a Frobenius theorem for Banach space complemented subbundles of the tangent bundle of a manifold modelled on locally convex spaces. The proof is based on an implicit function theorem for maps from locally convex spaces to Banach spaces proved in a recent paper of the author.

Journal

Monatshefte f�r Mathematik – Springer Journals

Published: Feb 14, 2000

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