On Invertible Nonnegative Hamiltonian Operator Matrices  

作　　者：Guo Hai JIN Guo Lin HOU Alatancang CHEN De Yu WU 

机构地区：[1]School of Mathematical Sciences, Inner Mongolia University

出　　处：《Acta Mathematica Sinica,English Series》2014年第10期1763-1774,共12页数学学报（英文版）

基　　金：Supported by Natural Science Foundation of China(Grant Nos.11361034,11371185,11101200);Specialized Research Fund for the Doctoral Program of Higher Education of China(Grant No.20111501110001);Major Subject of Natural Science Foundation of Inner Mongolia of China(Grant No.2013ZD01);Natural Science Foundation of Inner Mongolia of China(Grant No.2012MS0105)

摘　　要：Some new characterizations of nonnegative Hamiltonian operator matrices are given. Several necessary and sufficient conditions for an unbounded nonnegative Hamiltonian operator to be invertible are obtained, so that the main results in the previously published papers are corollaries of the new theorems. Most of all we want to stress the method of proof. It is based on the connections between Pauli operator matrices and nonnegative Hamiltonian matrices.Some new characterizations of nonnegative Hamiltonian operator matrices are given. Several necessary and sufficient conditions for an unbounded nonnegative Hamiltonian operator to be invertible are obtained, so that the main results in the previously published papers are corollaries of the new theorems. Most of all we want to stress the method of proof. It is based on the connections between Pauli operator matrices and nonnegative Hamiltonian matrices.

关 键 词：Hamiltonian operators INVERTIBILITY NONNEGATIVE symplectic elasticity 

分 类 号：O177.1[理学—数学]