Continuous ⁎-K-G-Frame in Hilbert C⁎-Modules

Abstract

Frame theory is recently an active research area in mathematics, computer science, and engineering with many exciting applications in a variety of different fields.This theory has been generalized rapidly and various generalizations of frames in Hilbert spaces In this papers we study the notion of dual continuous K-frames in Hilbert spaces. Also we etablish some new properties.

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.…”

Controlled Continuous g-Frames in Hilbert C * -Modules

“…Theory of frames have been extended from Hilbert spaces to Hilbert C * -modules [10], [19], [20], [21], [22], [23].…”

Integral operator frames for β(H)

“…Frames possess many nice properties which make them very useful in wavelet analysis, irregular sampling theory, signal processing and many other fields. The theory of frames has been generalized rapidly and various generalizations of frames have emerged in Hilbert spaces and Hilbert C * -modules (see [7,9,10,13,14,21,20,22,23,24,25]).…”