G-Frames and Direct Sums

July 2013
Asian Academy of Management Journal of Accounting & Finance;2013, Vol. 9 Issue 2, p313
Academic Journal
In this paper we study g-frames on the direct sum of Hilbert spaces. We generalize some of the results about g-frames on super Hilbert spaces to the direct sum of a countable number of Hilbert spaces. Also we study the direct sum of g-frames, g-Riesz bases and g-orthonormal bases for these spaces. Moreover we consider perturbations, duals and equivalences for the direct sum of g-frames


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