Excess of a class of g-frames

Abstract

In this paper, we study the relationship between frames for the super Hilbert space H ⊕ H and g-frames for H with respect to C2. We show that a g-frame associated with a frame for H ⊕ H remains a g-frame whenever any one of its elements is removed. Furthermore, we show that the excess of such a g-frame is at least dim H. © 2008 Elsevier Inc. All rights reserved.