The notion of a K-frame in n-Hilbert space is presented and some of their characterizations are given. We establish stability condition of K-frame in n-Hilbert space under some perturbations. We verify that sum of two K-frames is also a K-frame in n-Hilbert space. Also, the concept of tight K-frame in n-Hilbert space is described and some properties of its are going to be established.
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