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- W2118367060 abstract "Casazza and Kutyniok [Frames of subspaces, in Wavelets, Frames and Operator Theory, Contemporary Mathematics, Vol. 345 (American Mathematical Society, Providence, RI, 2004), pp. 87–113] defined fusion frames in Hilbert spaces to split a large frame system into a set of (overlapping) much smaller systems and being able to process the data effectively locally within each sub-system. In this paper, we handle this problem using block sequences and generalized block sequences with respect to g-frames. Examples have been given to show their existence. A necessary and sufficient condition for a block sequence with respect to a g-frame to be a g-frame has been given. Finally, a sufficient condition for a generalized block sequence with respect to a g-frame to be a g-frame has been given." @default.
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- W2118367060 date "2015-03-01" @default.
- W2118367060 modified "2023-09-27" @default.
- W2118367060 title "Block sequences and g-frames" @default.
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- W2118367060 doi "https://doi.org/10.1142/s0219691315500095" @default.
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