G-Frames and Direct Sums
Bulletin of the Malaysian Mathematical Society, Tome 36 (2013) no. 2
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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.
Classification :
41A58, 42C15, 42C40
@article{BMMS_2013_36_2_a5,
author = {Amir Khosravi and M. Mirzaee Azandaryani},
title = {G-Frames and {Direct} {Sums}},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2013},
volume = {36},
number = {2},
url = {http://geodesic.mathdoc.fr/item/BMMS_2013_36_2_a5/}
}
Amir Khosravi; M. Mirzaee Azandaryani. G-Frames and Direct Sums. Bulletin of the Malaysian Mathematical Society, Tome 36 (2013) no. 2. http://geodesic.mathdoc.fr/item/BMMS_2013_36_2_a5/