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Proceedings of the American Mathematical Society

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Invariant Lagrangian subspaces


Author: Lars Andersson
Journal: Proc. Amer. Math. Soc. 103 (1988), 1113-1119
MSC: Primary 47B50; Secondary 47A15, 58F05, 58G15
MathSciNet review: 954992
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Abstract: It is proved that on Hilbert spaces with strong symplectic form, every symplectic operator $ I + C$ with $ C$ compact has an invariant Lagrangian subspace.


References [Enhancements On Off] (What's this?)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1988-0954992-7
Keywords: Invariant subspace, symplectic transformation
Article copyright: © Copyright 1988 American Mathematical Society