Bessel multipliers on the tensor product of Hilbert $C^\ast-$‎ modules‎

Subject Areas : International Journal of Industrial Mathematics

M. Mirzaee ‎Azandaryani ¹ (Department of Mathematics, Faculty of Science, University of Qom, Qom, Iran.)

Received: 2016-01-22 Accepted : 2016-01-22 Published : 2016-01-01

Keywords: G-frames, Bessel multipliers, tensor products, Hilbert $C^ast-$ ‎modules,

Abstract :

In this paper, we first show that the tensor product of a finite number of standard g-frames (resp. fusion frames, frames) is a standard g-frame (resp. fusion frame, frame) for the tensor product of Hilbert $C^\ast-$ modules and vice versa, then we consider tensor products of g-Bessel multipliers, Bessel multipliers and Bessel fusion multipliers in Hilbert $C^\ast-$modules. Moreover, we obtain some results for the tensor product of duals using Bessel ‎multipliers.‎