Frameness bound for frame of subspaces

Abstract

In this paper, we show that in each nite dimensional Hilbert space, a frame of subspaces is an ultra Bessel sequence of subspaces. We also show that every frame of subspaces in a nite dimensional Hilbert space has frameness bound.

Keywords

• Frame of subspaces
• Frameness bound
• Pseudo-inverse
• Ultra Bessel sequence of subspaces