Pseudoholomorphic discs and symplectic structures in Hilbert space
arXiv:1411.3993
Abstract
We develop the theory of -holomorphic discs in Hilbert spaces with almost complex structures. As an aplication, we prove a version of Gromov's symplectic non-squeezing theorem for Hilbert spaces. It can be applied to short-time symplectic flows of a wide class of Hamiltonian PDEs.
32 pages