The K-operator Valued Frames In Hilbert Spaces

In this paper, we introduce the concept of the K-operator valued frames in Hilbert spaces. We discuss the relations of the frame operators, the synthesis operators, analysis operators and K-operator valued frames themselves. We characterize the orthogonality and the disjointness of K-operator valued frames with the corresponding synthesis operators and analysis operators. Also, we give the conditions of K-operator valued frames to be the Parseval K-operator valued frames. At last, we characterize K-operator valued frames by using dual operator valued frames of special closed subspaces, and give a way to construct dual operator valued frames foe special closed subspaces.