Generalized fusion frame in tensor product of Hilbert spaces

Abstract

Generalized fusion frame and some of their properties in tensor product of Hilbert spaces are described. Also, the canonical dual gfusion frame in tensor product of Hilbert spaces is considered. Finally, the frame operator for a pair of g-fusion Bessel sequences in tensor product of Hilbert spaces is presented.

Atomic systems in n-Hilbert spaces and their tensor products

“…The tensor product of Hilbert spaces X and Y is a certain linear space of operators which was represented by Folland in [13], Kadison and Ringrose in [14]. Generalized fusion frame in tensor product of Hilbert spaces was studied by P. Ghosh and T. K. Samanta [10].…”