Some properties of g-frames in Banach spaces

Abstract

In this paper, we introduce and study woven approximate Schauder g-frames. We show that for any two approximate Schauder g-frames, each weaving is an approximate Schauder g-frame if and only if there is a uniform constant [Formula: see text] such that every weaving is a C-approximate Schauder g-frame, and we obtain some perturbation results for approximate Schauder g-frames. Finally, some results have been found for weaving approximate Schauder g-frames.