Some equalities and inequalities of g-continuous frames  

作　　者：XIAO XiangChun & ZENG XiaoMing Department of Mathematics,Xiamen University,Xiamen 361005,China 

出　　处：《Science China Mathematics》2010年第10期2621-2632,共12页中国科学：数学（英文版）

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)

摘　　要：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.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.

关 键 词：g-continuous FRAME Parseval g-continuous FRAME FRAME OPERATOR 

分 类 号：O177.1[理学—数学]