Equivalency Relations between Continuous g‐Frames and Stability of Alternate Duals of Continuous g‐Frames in Hilbert C*‐Modules

Zhong-Qi Xiang

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

Abstract: We introduce the modular continuous g‐Riesz basis to improve one existing result for continuous g‐Riesz basis in Hilbert C*‐modules, and then we study the equivalency relations between continuous g‐frames in Hilbert C*‐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 C*‐modules.

Date: 2013
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https://doi.org/10.1155/2013/192732

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:192732

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