The fusion frames (frames of subspaces) and operators with closed range
by
Mohammad Sadegh Asgari
Department of Mathematics, Faculty of Science, Islamic Azad University, Central Tehran Branch, Tehran, Iran.

In the talk we shall discuss the behavior of fusion frames under operators with closed range. We also get conditions on a fusion frame W_u and a bounded linear operator with closed range U:H→ K, such that UW_u={(CL(UW_i) , v_i)}_{i ∈ I} is a fusion frame for K. Furthermore we show that every fusion frame
W_u={(W_i, v_i)}_{i ∈ I} of a Hilbert space H, is the image of the orthonormal fusion basis of H under a bounded surjective operator.

Date received: March 29, 2008