Symplectic Self-adjointness of Infinite Dimensional Hamiltonian Operators  

作　　者：Lin LI Alatancang CHEN De Yu WU 

机构地区：[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]Department of Mathematics, Hohhot Minzu College, Hohhot 010051, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2018年第9期1473-1484,共12页数学学报（英文版）

基　　金：Supported by NNSF of China(Grant Nos.11761029 and 11561048);NSF of Inner Mongolia(Grant No.2015MS0116);Natural Science Foundation of Hetao College(Grant No.HYZY201702)

摘　　要：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.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.

关 键 词：Hamiltonian operator symplectic self-adjointness quadratic complement relative bound 

分 类 号：O1[理学—数学]