Hilbert空间上的紧K-算子值框架  

Tight K-operator valued framework in Hilbert

作　　者：吴旭 张建平 曹壮利 WU Xu;ZHANG Jianping;CAO Zhuangli(College of Mathematics and Computer Science,Yan’an University,Yan’an 716000,China)

机构地区：[1]延安大学数学与计算机科学学院,陕西延安716000

出　　处：《延安大学学报（自然科学版）》2024年第4期69-74,共6页Journal of Yan'an University：Natural Science Edition

基　　金：国家自然科学基金项目(11961072);陕西省自然科学基础研究计划项目(2020JM-547)。

摘　　要：基于K-框架和算子值框架的定义,在Hilbert空间中引入紧K-算子值框架的概念,给出两个紧K-算子值框架之间相似、不相交、强不相交的定义,并讨论了它们的性质。研究结果进一步将算子值框架不相交性和强不相交性的结果推广到紧K-算子值框架上。Based on the definitions of K-frame and operator-valued frame,the concept of tight K-operator-valued frame is introduced into Hilbert space.The definitions of similar,disjoint,and strongly disjoint between two tight K-operator-valued frames are given,and their properties are discussed.The results further extend the results of disjoint and strong disjoint properties of operator valued frames to compact K-operator valued frames.

关 键 词：紧K-算子值框架 相似 不相交 强不相交 

分 类 号：O174.2[理学—数学]