Li, Lin et al., Symplectic Self-adjointness of Infinite Dimensional Hamiltonian Operators, Acta mathematica Sinica. English series (Print) , 34(9), 2018, pp. 1473-1484
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.