In this paper we construct a symplectic Banach space (X, Q) which does not split as a direct sum of closed isotropic subspaces. Thus, the question of whether every symplectic Banach space is isomorphic to one of the canonical form Y X Y* is settled in the negative. The proof also shows that PX) admits a nontrivial continuous homomorphism into C_(H) where H… (More)

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Cite this paper

@inproceedings{SYMPLECTIC2008ASB,
title={A Symplectic Banach Space with No Lagrangian Subspaces},
author={A SYMPLECTIC and Robert Chad Swanson},
year={2008}
}