مشخصات پژوهش

We introduce von Neumann–Schatten K-p-frames and von Neumann–Schatten K*-atomic systems, where K is a bounded operator on a separable Banach space, and we collect some relationships between these two concepts. Also, we characterize von Neumann–Schatten K-p-frames in terms of a range inclusion property and show that they are stable under different kinds of perturbations and the action of some bounded operators. Moreover, we introduce and characterize the notions of K-duals and K*-duals and obtain some of their properties.