广义完全Bessel序列和广义下半框架条件  

Generalized Complete Bessel Sequences and Conditions of Generalized Lower Semi-Frames

作　　者：蔡云[1] 高文君[2] 李登峰 CAI Yun;GAO Wen-jun;LI Deng-feng(Department of Mathematics,Nanjing University of Chinese Medicine,Nanjing 210023,China;College of Science,Zhongyuan University of Technology,Zhengzhou 451191,China;School of Mathematics and Computer,Wuhan Textile University,Wuhan 430200,China)

机构地区：[1]南京中医药大学数学教研室,江苏南京210023 [2]中原工学院理学院,河南郑州451191 [3]武汉纺织大学数学与计算机学院,湖北武汉430200

出　　处：《数学的实践与认识》2019年第21期226-232,共7页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11701292,11626133,61471410);江苏省高校自然科学基金面上项目(16KJB110017)

摘　　要：研究广义完全Bessel序列和广义下半框架,包括离散和连续两种情形.首先讨论广义完全Bessel序列的分析算子性质;其次建立广义下半框架的充要条件;最后证明广义完全Bessel序列的对偶是广义下半框架.This paper considers generalized complete Bessel sequences and generalized lower semi-frames,including discrete and continuous cases.Properties of analysis operator for generalized complete Bessel sequences axe firstly discussed.Then,some sufficient and necessary conditions of generalized lower semi-frames axe established.Lastly,it concludes that dual sequences of generalized complete Bessel sequences are generalized lower semi-frames.

关 键 词：广义框架 广义完全Bessel序列 广义下半框架 

分 类 号：O17[理学—数学]