Volume 36 • Number 2 • 2013   • G-Frames and Direct Sums Amir Khosravi and M. Mirzaee Azandaryani Abstract. 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 Full text: PDF