On some weaving properties of $g$-frames and $g$-Reisz bases
In this paper, we study weaving properties of generalized frames (or $g$-frames) and generalized Riesz bases (or $g$-Riesz bases). It is shown that a $g$-frame is always woven with its dual $g$-frame. We show that the sum of optimal $g$-frame bounds of two $g$-frames are never the optimal universal bounds of their weavings. We characterize woven $g$-frames in terms of woven frames. Illustrations are given to show how woven $g$-Riesz bases behave differently than woven Riesz bases.
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Functional Analysis
