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K-算子值框架的性质

Characterizations of K-operator valued frames
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摘要 在算子值框架的基础上,引入了K-算子值框架的概念.通过框架算子,合成算子对K-算子值框架加以刻画. In this paper, we introduce the definition of K- operator valued frames based on op- erator valued frames, and then give new characterizations of K - operator valued frames on the properties of their frame operator and synthesis operator.
作者 赵茂男 孟彬
出处 《西安文理学院学报(自然科学版)》 2015年第1期1-5,共5页 Journal of Xi’an University(Natural Science Edition)
基金 国家自然科学基金项目(NO.11171151)
关键词 K-算子值框架 框架算子 合成算子 K- operator valued frames frame operator synthesis operator
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参考文献13

  • 1DUFFIN R J,SCHAEFFER A C. A class of nonharmonic Fourier series[J]. Trans Math Soc,1952,72:341 -366.
  • 2DAUBECHIES I,GROSSMANbt A, MEYER Y. Painless nonorthogonal expansions [ J ]. J Math Phys, 1986,27 : 1271 - 1283.
  • 3CASAZZA P G. The art of frame theory [J]. Taiwannese J Math,2000,4(2) :129 -201.
  • 4CHRISTENSEN O. An introuduction to frames and Riesz bases [ M]. Boston: Birkhiuser,2003.
  • 5GAVRUTA L. Frames for operators[J]. Appl. Comp. Harm. Anan.,2012 ,32 :139 - 144.
  • 6SUN W C. g - frames and g - Riesz bases [ J]. J. Math. Anal. Appl.,2006,322 ( 1 ) :437 - 452.
  • 7周燕.K-g-框架的刻画[J].闽江学院学报,2013,34(2):29-32. 被引量:4
  • 8周燕.K-g-框架与斜对偶[J].福州大学学报(自然科学版),2014,42(1):25-28. 被引量:1
  • 9HAN DeGuang,LI PengTong,MENG Bin,TANG WaiShing.Operator valued frames and structured quantum channels[J].Science China Mathematics,2011,54(11):2361-2372. 被引量:8
  • 10GAVRUTA P. Frames for operators [J]. Appl Comput Harmon Anal,2012,32:139 - 144.

二级参考文献51

  • 1Duffin R J, Schaeffer A C. A class of nonharmonic Fourier series [ J ]. Trans Amer Math Soc, 1952,72:341 -366.
  • 2Eldar Y C. Sampling with arbitrary sampling and reconstruction spaces and oblique dual frame vectors [ J ]. Fourier Anal Appl, 2003,9( 1 ) :77 -96.
  • 3Daubechies I. Ten lectures on wavelets[ M]. Philadelphia: SIAM, 1992.
  • 4Heil C. A basis theory primer[ M ]. Boston: Birkhanse,2010.
  • 5Dudey Ward N E, Partington J R. A construction of rational wavelets and frames in Hardy-Sobolev space with application to system modelling[ J]. SIAM J Control Optim, 1998, 36( 1 ) :654 - 679.
  • 6Sun W C. G-frames and g-Riesz bases[ J]. Math Anal Appl,2006,322(1) :437 -452.
  • 7Gavruta P. Frames for operators [ J ]. Appl Comput Harmon Anal,2012,32:139 - 144.
  • 8Douglas R G. On majorization faetorization and range inelusion of operators on Hilbert space[ J]. Proe Amer Math Soc, 1966,17 (2) :413 -415.
  • 9Christensen O. An introduction to frames and Riesz bases[ M ]. Boston:Birkhauser,2003.
  • 10Y C Zhu. Characterizations of g-frames and g-Riesz bases in Hilbert spaces [ J ]. Acta Mathematica Sinica:English Series,2008,24 (10) .1 727 -1 736.

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