g-frames and hilbert-schmidt operators

Authors

m. r. abdollahpour

a. najati

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.

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Journal title:
bulletin of the iranian mathematical society

Publisher: iranian mathematical society (ims)

ISSN 1017-060X

volume 37

issue No. 4 2011

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