On Invertible Nonnegative Hamiltonian Operator Matrices
English Series · 2014
Some new characterizations of nonnegative Hamiltonian operator matrices are given. Sev- eral 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. Keywords Hamiltonian operators, invertibility, nonnegative, symplectic elasticity