*-g-frames in tensor products of Hilbert C*-modules

Abstract

In this paper, we study ∗-g-frames in tensor products of Hilbert C∗-modules. We show that a tensor product of two ∗-g-frames is a ∗-g-frame, and we get some result.

Some Generalizations of Frames in Hilbert Modules

“…where the elements A and B are called lower and upper bound of the * -K-frame, respectively. Definition 9 (see [22]). Let K ∈ End * A (H).…”

Controlled ∗ -Operator Frames on Hilbert C ∗ -Modules

“…* -operator frames for End * A (H) has been studied by Rossafi and Kabbaj [6]. For more details, see [7][8][9].…”

Perturbation and Stability of Continuous Operator Frames in Hilbert C ∗ -Modules

“…e theory of continuous frames has been generalized in Hilbert C * -modules. For more details, see [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25]. e aim of this paper is to extend the results of Rossafi and Akhlidj [23], given for Hilbert C * -module in a discrete case.…”