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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Darboux's theorem fails for weak symplectic forms


Author: J. Marsden
Journal: Proc. Amer. Math. Soc. 32 (1972), 590-592
MSC: Primary 58B20
MathSciNet review: 0293678
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Abstract: An example of a weak symplectic form on a Hilbert space for which Darboux's theorem fails is given.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1972-0293678-X
PII: S 0002-9939(1972)0293678-X
Keywords: Darboux's theorem, symplectic form
Article copyright: © Copyright 1972 American Mathematical Society