%0 Journal Article
%T FUSION FRAMES AND G-FRAMES IN TENSOR PRODUCT AND DIRECT SUM OF HILBERT SPACES
%A Amir Khosravi
%A M. Mirzaee Azandaryani
%J Applicable Analysis and Discrete Mathematics
%D 2012
%I University of Belgrade and Academic Mind
%R 10.2298/aadm120619014k
%X In this paper we study fusion frames and g-frames for the tensor products and direct sums of Hilbert spaces. We show that the tensor product of a finite number of g-frames (resp. fusion frames, g-Riesz bases) is a g-frame (resp. fusion frame, g-Riesz basis) for the tensor product space and vice versa. Moreover we obtain some important results in tensor products and direct sums of g-frames, fusion frames, resolutions of the identity and duals.
%K Fusion frames
%K g-frames
%K tensor products
%K direct sums
%U http://pefmath.etf.rs/vol6num2/AADM-Vol6-No2-287-303.pdf