山东理工大学学报(自然科学版)
山東理工大學學報(自然科學版)
산동리공대학학보(자연과학판)
Journal of Shandong University of Technology (Natural Science Edition)
2015年
5期
29-32
,共4页
g-框架%单位分解%下界
g-框架%單位分解%下界
g-광가%단위분해%하계
g-frame%resolution of the identity%lower bound
g‐框架是对框架理论进一步的补充和丰富,在实际应用上更具有灵活性。利用算子理论和泛函分析的知识完善g‐框架的一些结果并讨论了g‐框架的判定和求g‐框架下界的方法。其次,给出了单位分解的几个性质,并进一步研究了它与g‐框架的关系。
g‐框架是對框架理論進一步的補充和豐富,在實際應用上更具有靈活性。利用算子理論和汎函分析的知識完善g‐框架的一些結果併討論瞭g‐框架的判定和求g‐框架下界的方法。其次,給齣瞭單位分解的幾箇性質,併進一步研究瞭它與g‐框架的關繫。
g‐광가시대광가이론진일보적보충화봉부,재실제응용상경구유령활성。이용산자이론화범함분석적지식완선g‐광가적일사결과병토론료g‐광가적판정화구g‐광가하계적방법。기차,급출료단위분해적궤개성질,병진일보연구료타여g‐광가적관계。
g‐frame is the supplement and complement of the abstract frame theory ,and have more flexibility in practical application .We improved some results of g‐frame and discussed the judge of g‐frames to provide a method for getting its lower bound .Secondly ,some properties of resolu‐tion of the identity were given ,and the relationship between g‐frame and the resolution of the i‐dentity was further studied .