Woven g-Fusion Frames in Hilbert Spaces

Abstract

In this paper, we introduce the notion of woven g-fusion frames in Hilbert spaces. Then, we present sufficient conditions for woven g-fusion frames in terms of woven frames in Hilbert spaces. We extend some of the recent results of standard woven frames and woven fusion frames to woven g-fusion frames. Also, we study perturbations of woven g-fusion frames.

Keywords

• frame
• g-fusion frame
• woven frame
• weaving g-fusion frame
• perturbation