A Symplectic Banach Space with No Lagrangian Subspaces

Abstract

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)

Cite this paper

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