  In this paper, we obtain some new properties of weaving frames and present
some conditions under which a family of frames is woven in Hilbert spaces. Some
characterizations of weaving frames in terms of operators are given. We also
give a condition associated with synthesis operators of frames such that the
sequence of frames is woven. Finally, for a family of woven frames, we show
that they are stable under invertible operators and small perturbations.
