Invertibility of Infinite Dimensional Hamiltonian Operators
Hou Yu-shuang · Journal of Inner Mongolia University · 2009
Using the method of space decomposition,the invertibility of infinite dimensional Hamiltonian operators is investigated.An equivalent condition is obtained to show that a partial operator matrix can be completed as an invertible infinite dimensional Hamiltonian operator with one entry of its inverse specified,and all solutions of the problem are given.Moreover,the general problem of completing a partial operator matrix as an invertible infinite dimensional Hamiltonian operator is discussed.