Hilbert C-模中融合框架的新刻画  

New characterization of fusion frames in Hilbert C＊-modules

作　　者：相中启[1] 黄时祥[1] 

机构地区：[1]上饶师范学院数学与计算机科学学院,江西上饶334001

出　　处：《纯粹数学与应用数学》2015年第5期456-463,共8页Pure and Applied Mathematics

基　　金：国家自然科学基金(11271148)

摘　　要：观察到Hilbert C*-模中融合框架原定义的不合理性,然后通过权重集的选取将其改进,得到融合框架的新定义并给出其等价形式.特别地,利用算子理论方法得到了Hilbert C*-模中融合框架的一个新刻画.An observation shows that the original definition of fusion frames in Hilbert C＊-modules is unrea- sonable and then, it is improved by a replacement of the associated weight set. An equivalent form of the new definition of fusion frames in Hilbert C＊-modules is also given and, especially, a new characterization of fusion frames in Hilbert C＊-modules is obtained by the method of operator theory

关 键 词：HILBERT C-模 融合框架 刻画 

分 类 号：O174.6[理学—数学]