In this paper,we derive some equalities and inequalities about g-continuous frames,which are an extension to g-frames and continuous frames.We also discuss the stability of the perturbation of a g-continuous frame.
基金supported by National Natural Science Foundation of China (Grant No.10571145)Natural Science Foundation of Fujian Province of China (Grant No.2010J01012)the Science and Technology Foundation of Xiamen City of China (Grant No.20083012)
文摘In this paper,we derive some equalities and inequalities about g-continuous frames,which are an extension to g-frames and continuous frames.We also discuss the stability of the perturbation of a g-continuous frame.