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Darboux's Theorem Fails for Weak Symplectic Forms

Marsden, J. E. (1972) Darboux's Theorem Fails for Weak Symplectic Forms. Proceedings of the American Mathematical Society, 32 (2). pp. 590-592. ISSN 0002-9939. https://resolver.caltech.edu/CaltechAUTHORS:20100824-111703018

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Abstract

An example of a weak symplectic form on a Hilbert space for which Darboux's theorem fails is given.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://www.cds.caltech.edu/~marsden/bib/1972/04-Ma1972/AuthorUNSPECIFIED
http://www.ams.org/journals/proc/1972-032-02/S0002-9939-1972-0293678-X/home.htmlPublisherUNSPECIFIED
Additional Information:© American Mathematical Society 1972. Received by the editors June 4, 1971. Partially supported by the National Research Council of Canada.
Funders:
Funding AgencyGrant Number
National Research Council of CanadaUNSPECIFIED
Subject Keywords:Darboux's theorem, symplectic form.
Issue or Number:2
Classification Code:AMS 1970: Primary 58B20, 58F05.
Record Number:CaltechAUTHORS:20100824-111703018
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20100824-111703018
Official Citation:Marsden, J. Darboux's theorem fails for weak symplectic forms. Proc. Amer. Math. Soc. 32 (1972), 590--592.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:19631
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:08 Sep 2010 16:29
Last Modified:03 Oct 2019 01:59

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