# G-frames and Hilbert-Schmidt operators

Document Type : Research Paper

Authors

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 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.

Keywords

### History

• Receive Date: 20 February 2010
• Revise Date: 12 July 2010
• Accept Date: 12 July 2010
• First Publish Date: 15 December 2011