Fusion frames and g-frames in tensor product and direct sum of Hilbert spaces
2012 ◽
Vol 6
(2)
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pp. 287-303
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In this paper we study fusion frames and g-frames for the tensor products and direct sums of Hilbert spaces. We show that the tensor product of a finite number of g-frames (resp. fusion frames, g-Riesz bases) is a g-frame (resp. fusion frame, g-Riesz basis) for the tensor product space and vice versa. Moreover we obtain some important results in tensor products and direct sums of g-frames, fusion frames, resolutions of the identity and duals.
1982 ◽
Vol 92
(3-4)
◽
pp. 193-204
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Keyword(s):
2020 ◽
Vol 6
(1)
◽
pp. 127-142
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1975 ◽
Vol 78
(2)
◽
pp. 301-307
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2008 ◽
Vol 06
(03)
◽
pp. 433-446
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Keyword(s):
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2012 ◽
Vol 05
(02)
◽
pp. 1250026
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