几种g-框架与其对应子空间的框架之间的关系  

The Relationship Between Several g-Frames and the Frames for Their Corresponding Subspaces

作　　者：黄新丽 

机构地区：[1]福州海峡职业技术学院,福建省福州市350014

出　　处：《曲阜师范大学学报（自然科学版）》2013年第4期28-34,共7页Journal of Qufu Normal University(Natural Science)

摘　　要：定义了g-框架关于其对应子空间序列的框架的导出序列,用该导出序列给出了g-框架、g-Riesz基和g-Riesz框架的等价刻画,接着对g-Besselian框架和拟g-Riesz基是否具有类似的刻画进行了讨论.The induced sequence by g-frames with respect to the frames for its corresponding subspaces is defined. It offers some equivalent characterizations of g-frames,g-Riesz bases and g-Riesz frames with the induced sequences. And whether g-Besselian frames and near g-Riesz bases have the same characteriza- tions is discussed, too.

关 键 词：G-框架 g—Riesz基 g—Riesz框架 g—Besselian框架 拟g—Riesz基 

分 类 号：O177.1[理学—数学]