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Hilbert C＊-模中g-框架的一些性质 被引量：1

Some Properties of g-Frames in Hilbert C＊-Modules
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摘要 本文运用算子理论方法，给出Hilbert C＊-模中g-框架的一些性质并讨论g-框架的扰动性，得到g-框架的和的一些刻画,所得结果推广和改进了已有的结果． In this paper, utilizing the method of operator theory, some properties and perturbation of g-franes in Hilbert C＊-modules are discussed, some characterizations of sums of g-frames in Hilbert C＊-modules are obtained. Moreover, it is shown that these results extend and improve the existing results.
作者 姚喜妍
机构地区 运城学院应用数学系
出处 《数学学报（中文版）》 SCIE CSCD 北大核心 2011年第1期1-8,共8页 Acta Mathematica Sinica：Chinese Series
基金 山西省重点学科基金项目(20091028) 教育厅基金项目(304) 运城学院科研项目(2009003)
关键词 HILBERT C＊-模 G-框架 g-框架算子 Hilbert C＊-module g-frame g-frame operator
分类号 O177.1 [理学—基础数学]
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参考文献18

  • 1肖祥春,朱玉灿,曾晓明.Hilbert空间中g-Parseval框架的一些性质[J].数学学报（中文版）,2008,51(6):1143-1150. 被引量：9
  • 2Gabor D.Theory of communictions. Jour.Inst.Elec.Engrg . 1946
  • 3Frichtinger H.G,Grchenig K.Theory and Practice Irregular Sampling. Wavelets:Mathematics and Applications . 1994
  • 4Dudey Ward N.E,Partington J.R.A construction of rational wavelets and frames in Hardy-Sobolev space with applications to system modelling. The SIAM Journal on Control and Optimization . 1998
  • 5Holmes R.B,Paulsen V.I.Optimal frames for erasures. Linear Algebra and Its Applications . 2004
  • 6Sun W.Stability of g-frames. Journal of Mathematical Analysis and Applications . 2007
  • 7Khosravi A,Khosravi B.Fusion frames and g-frames in Hilbert C*-modules. Int.J.Wavelets Multiresolut. Inf.Process . 2008
  • 8Xiao X.C,Zeng X.M.Some properties of g-frames in Hilbert C*-modules. Journal of Mathematical Analysis and Applications . 2010
  • 9Zhu Y.C.Characterization of g-frames and g-Riesz bases in Hilbert spaces. Acta Mathematica Scientia . 2008
  • 10Strohmer,T.,Jr,Heath,R. W.Grassmannian frames with applications to coding and communications. Applied and Computational Harmonic Analysis . 2003

二级参考文献17

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数学学报（中文版）
2011年 第1期

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