Dirac structures on Hilbert spaces

For a real Hilbert space (H,〈,〉), a subspace L⊂H⊕H is said to be a Dirac structure on H if it is maximally isotropic with respect to the pairing 〈(x,y),(x′,y′)〉+=(1/2)(〈x,y′〉+〈x′,y〉). By investigating some basic properties of these structures, it is shown that Dirac structures on H are in one-to-one...

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Bibliographic Details
Main Authors: A. Parsian, A. Shafei Deh Abad
Format: Article
Language:English
Published: Wiley 1999-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171299220972
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