Complementary Lagrangians in Infinite Dimensional Symplectic Hilbert Spaces
Paolo Piccione, Daniel V. Tausk
math.FAarXiv:math/0410031
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.
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