Invertibility for a class of infinite dimensional Hamiltonian operators
Shengju Han · Dalian Ligong Daxue xuebao · 2008
The infinite dimensional Hamiltonian operator comes from the infinite dimensional Hamiltonian system,which has deep mechanic background and applied foreground.In this note,the sufficient and necessary condition of bounded invertibility for a class of infinite dimensional Hamiltonian operators is obtained by using space decomposition and block operator matrices.Moreover,the result is compared with the documentary results.At last,the validity of this result is shown by several test examples.