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Volume 36 • Number 2 • 2013
• G-Frames and Direct Sums
Amir Khosravi and M. Mirzaee Azandaryani

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.

2010 Mathematics Subject Classification: 41A58, 42C15, 42C40

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