  K-frames were introduced by L. Gavruta to study atomic systems on Hilbert
spaces. Recently some generalizations of this concept are introduced and some
of its difference with ordinary frames are studied. In this paper *-K-frames
are introduced and some properties of this generalization of K-frames are
studied. After proving some characterizations of *-K-frames, direct sum and
tensor product of *-K-frames are considered and finally some perturbation
results are established.
