  This part is a continuation of the Part I where we built resolutions of
identity for certain non-Hermitian Hamiltonians constructed of biorthogonal
sets of their eigen- and associated functions for the spectral problem defined
on entire axis. Non-Hermitian Hamiltonians under consideration are taken with
continuous spectrum and the following cases are examined: an exceptional point
of arbitrary multiplicity situated on a boundary of continuous spectrum and an
exceptional point situated inside of continuous spectrum. In the present work
the rigorous proofs are given for the resolutions of identity in both cases.
