Title of article :
G-FRAMES AND HILBERT-SCHMIDT OPERATORS
Author/Authors :
ABDOLLAHPOUR, M. R. university of mohaghegh ardabili - Department of Mathematical Sciences, اردبيل, ايران , NAJATI, A. university of mohaghegh ardabili - Department of Mathematical Sciences, اردبيل, ايران
Abstract :
In this paper we introduce and study Besselian g-frames. We show that the kernel of associated synthesis operator for a Besselian g-frame is nite dimensional. We also introduce α-dual of a g-frame and we get some results when we use the Hilbert-Schmidt norm for the members of a g-frame in a nite dimensional Hilbert space.
Keywords :
frame , g , frame , Besselian g , frame , α , dual , Hilbert , Schmidt operator
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
