%0 Journal Article
%T G-frames and Hilbert-Schmidt operators
%J Bulletin of the Iranian Mathematical Society
%I Iranian Mathematical Society (IMS)
%Z 1017-060X
%A Abdollahpour, M. R.
%A Najati, A.
%D 2011
%\ 12/15/2011
%V 37
%N No. 4
%P 141-155
%! G-frames and Hilbert-Schmidt operators
%K frame
%K g-frame
%K Besselian g-frame
%K alpha-dual
%K Hilbert-Schmidt operator
%R
%X 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.
%U http://bims.iranjournals.ir/article_376_dec38006d54dac2838992a1a939b821a.pdf