Equivalency Relations between Continuous g-Frames and Stability of Alternate Duals of Continuous g-Frames in Hilbert -Modules

Zhong-Qi Xiang

Journal of Applied Mathematics, 2013, vol. 2013, 1-11

Abstract:

We introduce the modular continuous g-Riesz basis to improve one existing result for continuous g-Riesz basis in Hilbert -modules, and then we study the equivalency relations between continuous g-frames in Hilbert -modules, and, in particular, we obtain two necessary and sufficient conditions under which two continuous g-frames are similar. Finally, we generalize a stability result for alternate duals of g-frames in Hilbert spaces to alternate duals of continuous g-frames in Hilbert -modules.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:192732

DOI: 10.1155/2013/192732

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