A Symplectic Banach Space with no Lagrangian Subspaces

DOI10.2307/1999213zbMath0525.58018OpenAlexW4233991778MaRDI QIDQ3038241

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Publication date: 1982

Full work available at URL: https://doi.org/10.2307/1999213

zbMATH Keywords

reflexive Banach spacestrictly singular operatorsisotropic subspacesC* algebras

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Infinite-dimensional manifolds (58B99)

Related Items (10)

Obituary: Nigel John Kalton, 1946-2010 ⋮ Projective limit of a sequence of compatible weak symplectic forms on a sequence of Banach bundles and Darboux theorem ⋮ On symplectic Banach spaces ⋮ The Rochberg garden ⋮ On Darboux Theorem for symplectic forms on direct limits of symplectic Banach manifolds ⋮ Theory of subdualities ⋮ Fredholm-Lagrangian-Grassmannian and the Maslov index ⋮ Projective and Direct limits of Banach $G$ and tensor structures ⋮ Split canonical relations ⋮ Atiyah--Patodi--Singer boundary condition and a splitting formula of a spectral flow

Cites Work

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• Linear symplectic structures on Banach spaces
• On the relation between several notions of unconditional structure
• Properties of infinite dimensional Hamiltonian systems
• On the Morse index in variational calculus
• Symplectic manifolds and their Lagrangian submanifolds
• Twisted Sums of Sequence Spaces and the Three Space Problem
• On the uniqueness of the ideals of compact and strictly singular operators
• Quadratic Forms on Banach Spaces

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