Invertibility Of Nonnegatively Hamiltonian Operators~1

To begin with, the research of nonnegatively Hamiltonian operator is briefly outlined. Besides, studying the invertibility of nonnegatively Hamiltonian operator. Furthermore, the necessary and sufficient conditions for invertibility of bounded oblique diagonal ele-ments or main diagonal elements of nonnegatively Hamiltonian operator are given.More-over, a concrete example is presented to illustrate the results. In the end,researching the close of A(H) and inferring the necessary and sufficient conditions for invertibility of nonnegatively Hamiltonian operator.