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

[摘要] We introduce the modular continuous g-Riesz basis to improve one existing result for continuous g-Riesz basis in HilbertC*-modules, and then we study the equivalency relations between continuous g-frames in HilbertC*-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 HilbertC*-modules.

[学科分类] 应用数学