Complementary Lagrangians in Infinite Dimensional Symplectic Hilbert Spaces

Details Complementary Lagrangians in Infinite Dimensional Symplectic Hilbert Spaces Complementary Lagrangians in Infinite Dimensional Symplectic Hilbert Spaces

2004-10-02

arxiv.org/abs/math/0410031v1

Mathematics

Functional Analysis

LaTeX2e, amsart.cls, 4 pages, no figures

Scientific paper

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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