Uniform excess of g-frames

Let {Lambda(i)}(i is an element of I) be a g-frame for U with respect to {Vi}(i is an element of I), where U and {Vi}(i is an element of I) are Hilbert spaces. The excess of {Lambda i}(i is an element of I) is the largest cardinal number of the subsets J of I such that {Lambda i}(i is an element of I\J) is a g-frame for U with respect to {Vi}(i is an element of I\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.