Linear symplectic structures on Banach spaces

DOI10.1216/RMJ-1980-10-2-305zbMath0449.58007OpenAlexW2046209412MaRDI QIDQ1147409

S. H. Smith

Publication date: 1980

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj-1980-10-2-305

zbMATH Keywords

symplectic groupLagrange-Grassmannian of a symplectic Banach spaceLagrangean subspacessymplectic Hilbertable spaces

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Geometry and structure of normed linear spaces (46B20) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Pseudogroups and differentiable groupoids (58H05) Homotopy and topological questions for infinite-dimensional manifolds (58B05)

Related Items (8)

Unnamed Item ⋮ A Symplectic Banach Space with no Lagrangian Subspaces ⋮ On symplectic Banach spaces ⋮ The Hilbert-Schmidt Lagrangian Grassmannian in infinite dimension ⋮ The Rochberg garden ⋮ On Darboux Theorem for symplectic forms on direct limits of symplectic Banach manifolds ⋮ The Maslov Index in Symplectic Banach Spaces ⋮ Invariant Lagrangian Subspaces

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