Weak symplectic forms and differential calculus in Banach spaces
نویسنده
چکیده
1Jerrold E. Marsden and Tudor S. Ratiu, Introduction to Mechanics and Symmetry, second ed., Chapter 2. 2Serge Lang, Differential and Riemannian Manifolds, p. 150, Theorem 8.1; Mircea Puta, Hamiltonian Mechanical Systems and Geometric Quantization, p. 12, Theorem 1.3.1. 3Andreas Kriegl and Peter W. Michor, The Convenient Setting of Global Analysis, p. 522, §48; Peter W. Michor, Some geometric evolution equations arising as geodesic equations on groups of diffeomorphisms including the Hamiltonian approach, pp. 133–215, in Antonio Bove, Ferruccio Colombini, and Daniele Del Santo (eds.), Phase Space Analysis of Partial Differential Equations; K.-H. Need, H. Sahlmann, and T. Thiemann, Weak Poisson Structures on Infinite Dimensional Manifolds and Hamiltonian Actions, pp. 105–135, in Vladimir Dobrev (ed.), Lie Theory and Its Applications in Physics; Tudor S. Ratiu, Coadjoint Orbits and the Beginnings of a Geometric Representation Theory, pp. 417–457, in Karl-Hermann Neeb and Arturo Pianzola (eds.), Developments and Trends in Infinite-Dimensional Lie Theory.
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