Complementary Lagrangians in infinite dimensional symplectic Hilbert spaces

DOI10.1590/S0001-37652005000400002zbMath1098.53061arXivmath/0410031WikidataQ51958559 ScholiaQ51958559MaRDI QIDQ5471578

Daniel V. Tausk, Paolo Piccione

Publication date: 14 June 2006

Published in: Anais da Academia Brasileira de Ciências (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0410031

zbMATH Keywords

spectral theoremsLagrangian subspacesLagrangian Grassmanniansymplectic Hilbert spacesunbounded self-adjoint operators

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Lagrangian submanifolds; Maslov index (53D12)

Related Items

On the Fredholm Lagrangian Grassmannian, spectral flow and ODEs in Hilbert spaces, A generalization of Yoshida-Nicolaescu theorem using partial signatures, On the singularities of the exponential map in infinite dimensional Riemannian manifolds

Cites Work

• Fredholm-Lagrangian-Grassmannian and the Maslov index
• Maslov-type index theory for symplectic paths and spectral flow. I
• Hilbert Manifolds Without Epiconjugate Points