Espaces de Krein et index des systèmes hamiltoniens. (Krein spaces and index of Hamiltonian systems)

DOI10.1016/S0294-1449(16)30280-3zbMath0719.58030MaRDI QIDQ2640209

V. Brousseau

Publication date: 1990

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_1990__7_6_525_0

zbMATH Keywords

Hamiltonian systemsindexnormal operatorresolvantsymplectic operatorHilbert productKrein determinantKrein productKrein trace

Mathematics Subject Classification ID

Eigenvalue problems for linear operators (47A75) Index theory and related fixed-point theorems on manifolds (58J20) Ergodic theorems, spectral theory, Markov operators (37A30) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20)

Related Items (5)

Symplectic homology of convex domains and Clarke's duality ⋮ On the spectral characterization of Besse and Zoll Reeb flows ⋮ Hyperbolic characteristics on star-shaped hypersurfaces ⋮ Hyperbolic closed characteristics on compact convex smooth hypersurfaces in \(\mathbb{R}^{2n}\) ⋮ On the Morse index of Lagrangian systems.

Cites Work

• Une théorie de Morse pour les systèmes hamiltoniens convexes
• Morse‐type index theory for flows and periodic solutions for Hamiltonian Equations
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