  In this paper, we construct a self-adjoint operator T generated by the
sixth-order Krall differential expression in the extended Hilbert space
L^2(-1,1) + C^2. To obtain T, we apply a new general theory, the so-called
GKN-EM theory, developed recently by Littlejohn and Wellman that extends the
classical Glazman-Krein-Naimark theory using a complex symplectic geometric
approach developed by Everitt and Markus. This work extends earlier studies of
the Krall expression by both Littlejohn and Loveland.
