The aim of this paper is to analyze K -frames generated by a bounded linear operator on a separable Hilbert space H . First, we establish some lower bounds for the norm of an operator T when the sequence {T n g}g∈G,n0 satisfies the lower K -frame bound for some set G ⊂ H . Furthermore, we derive a necessary condition for the sequence {T n g}g∈G,n0 to be a K -frame. As a consequence, we prove that the hypercyclic operator T with a hypercyclic vector in the range of K cannot generate a K -frame. Additionally, under certain conditions, we construct a Parseval iterative K -frame using an operator. Finally, we determine the form of the K -dual for K -frames generated by an operator

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