Some Properties of K-Frames in Quaternionic Hilbert Spaces

In the present paper, we discuss some properties of K -frames in quaternionic Hilbert spaces such as the invertibility of the frame operator as well as the interchangeability of two Bessel sequences. Further, we propose several approaches to construct K -frames and we show that a T -frame can be constructed from a K -frame by the perturbation of a bounded linear operator T . Finally, we study the stability of K -frames under some perturbations.