C-erasure reconstruction error of \({GC}\)-frame of subspaces


Reza Ahmadi - Research Institute for Fundamental Science, University of Tabriz, Tabriz, Iran. Hosein Emamalipor - Faculty of Mathematical Science, University of Tabriz, Tabriz, Iran.


In [M. H. Faroughi, R. Ahmadi, Math. Nachr., 284 (2010), 681-693], we generalized the concept of fusion frames, namely, c-fusion integral, which is a continuous version of the fusion frames and in [M. H. Faroughi, A. Rahimi, R. Ahmadi, Methods Funct. Anal. Topology, 16 (2010), 112-119] we extended it for generalized frames. In this article we give some important properties about it namely erasures of subspaces, the bound of gc-erasure reconstruction error for Parseval gc-frame of subspaces.