Let { Ξ i } i β β {\{\Lambda_{i}\}_{i\in\mathcal{I}}} be a g-frame for π° {\mathcal{U}} with respect to { π± i } i β β {\{\mathcal{V}_{i}\}_{i\in\mathcal{I}}} , where π° {\mathcal{U}} and { π± i } i β β {\{\mathcal{V}_{i}\}_{i\in\mathcal{I}}} are Hilbert spaces. The excess of { Ξ i } i β β {\{\Lambda_{i}\}_{i\in\mathcal{I}}} is the largest cardinal number of the subsets π₯ {\mathcal{J}} of β {\mathcal{I}} such that { Ξ i } i β β β π₯ {\{\Lambda_{i}\}_{i\in\mathcal{I\setminus J}}} is a g-frame for π° {\mathcal{U}} with respect to { π± i } i β β β π₯ {\{\mathcal{V}_{i}\}_{i\in\mathcal{I\setminus J}}} . In this paper, we consider the excess of a g-frame and introduce the concept of m-uniform excess for g-frames. Also, we present constructions of m-uniform excess g-frames. Finally, we investigate the relationship between m-uniform excess g-frames and woven g-frames.
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