Complementary Lagrangians in infinite dimensional symplectic Hilbert spaces
We prove that any countable family of Lagrangian subspaces of a symplectic Hilbert space admits a common complementary Lagrangian. The proof of this puzzling result, which is not totally elementary also in the finite dimensional case, is obtained as an application of the spectral theorem for unbound...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Academia Brasileira de Ciências
2005-01-01
|
| Series: | Anais da Academia Brasileira de Ciências |
| Subjects: | |
| Online Access: | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652005000400002 |