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 finite dimensional. We also introduce $alpha$-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 finite dimensional Hilbert space.
Abdollahpour, M. R. & Najati, A. (2011). G-frames and Hilbert-Schmidt operators. Bulletin of the Iranian Mathematical Society, 37(No. 4), 141–155.
MLA
Abdollahpour, M. R., & Najati, A. "G-frames and Hilbert-Schmidt operators", Bulletin of the Iranian Mathematical Society, 37, No. 4, 2011, 141–155.
HARVARD
Abdollahpour, M. R., & Najati, A. (2011). 'G-frames and Hilbert-Schmidt operators', Bulletin of the Iranian Mathematical Society, 37(No. 4), pp. 141–155.
CHICAGO
Abdollahpour, M. R. & Najati, A., "G-frames and Hilbert-Schmidt operators." Bulletin of the Iranian Mathematical Society, 37 No. 4 (2011): 141–155,
VANCOUVER
Abdollahpour M. R., Najati A. G-frames and Hilbert-Schmidt operators. BIMS. 2011;37(No. 4):141–155.
