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Symplectic Self-adjointness of Infinite Dimensional Hamiltonian Operators
Authors:Lin Li  Alatancang Chen  De Yu Wu
Institution:1. School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, P. R. China;2. Department of Physiology, Hetao College, Bayannur 015000, P. R. China;3. epartment of Mathematics, Hohhot Minzu College, Hohhot 010051, P. R. China
Abstract:Symplectic self-adjointness of infinite dimensional Hamiltonian operators is studied, the necessary and sufficient conditions are given. Using the relatively bounded perturbation, the sufficient conditions about symplectic self-adjointness are shown.
Keywords:Hamiltonian operator  symplectic self-adjointness  quadratic complement  relative bound  
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