Complementary Lagrangians in Infinite Dimensional Symplectic Hilbert Spaces
Functional Analysis
2007-05-23 v1
Abstract
Using the Spectral Theorem for unbounded self-adjoint operators we prove that any countable family of Lagrangian subspaces of a symplectic Hilbert space admits a common complementary Lagrangian.
Cite
@article{arxiv.math/0410031,
title = {Complementary Lagrangians in Infinite Dimensional Symplectic Hilbert Spaces},
author = {Paolo Piccione and Daniel V. Tausk},
journal= {arXiv preprint arXiv:math/0410031},
year = {2007}
}
Comments
LaTeX2e, amsart.cls, 4 pages, no figures