On K-pseudoframes for subspaces

Abstract

In this paper, the concept of K-pseudoframes for subspaces of Hilbert spaces, as a generalization of both K-frames and pseudoframes, is introduced and some of their properties and their characterizations are investigated. Next, duals of K-pseudoframes arediscussed. Finally, the concept of pseudoatomic system is introduced and its relationswith K-pseudoframe are studied.