  This work addresses the resolvent convergence of generalized MIT bag
operators to Dirac operators with zigzag type boundary conditions. We prove
that the convergence holds in strong but not in norm resolvent sense. Moreover,
we show that the only obstruction for having norm resolvent convergence is the
existence of an eigenvalue of infinite multiplicity for the limiting operator.
More precisely, we prove the convergence of the resolvents in operator norm
once projected into the orthogonal of the corresponding eigenspace.
