期刊文献+

HILBERTW-模上标准广义框架的摄动 被引量:1

Perturbations of Standard Generalized Frames in Hilbert W-Module
下载PDF
导出
摘要 该文主要用算子理论的方法详细讨论了Hilbert W-模中标准广义框架的摄动性,且给出了类似于Hilbert空间中的很有用的摄动条件和相应结论. In this paper,the stability of Hilbert W-modular standard generalized frames under perturbations are studied intensively by using operator-theoretic-methods,and some useful conditions of perturbation and results which are similar to the frames in Hilbert space are given.
出处 《数学物理学报(A辑)》 CSCD 北大核心 2011年第2期478-491,共14页 Acta Mathematica Scientia
基金 国家自然科学基金(10771101) 南京航空航天大学基本科研业务费专项科研项目(NS2010197)资助
关键词 框架 HILBERT W~*-模 广义框架 分析算子 框架算子 摄动 Frame Hilbert W*-module Generalized frame Analyzing operator Frame operator Perturbation.
  • 相关文献

参考文献9

  • 1Han D G,Larson D R.Frames,bases and group representations.Memoirs Amer Math Soc,2000,147.
  • 2Christensen O.Frame perturbations.Proc Amer Math Soc,1995,123(4):1217-1220.
  • 3Cazassa P G,Christensen O.Perturbation of operators and applications to frame theorey.Jour Fourier Anal and Appls,1997,3(5):543-557.
  • 4Kaiser G.A Friendly Guide to Wavelets.Boston:Birkh(a) user,1994.
  • 5Yao X Y,Du H K.Some applications of orthogonal projections in generalized frames.Journal of Mathematical Research and Exposition,2006,26(2):227-232.
  • 6Frank M,Larson D R.Frames in Hilbert C*-modules and C*-algebras.J Operator Theory,2002,48:273-314.
  • 7Lance E C.Hilbert C*-Modules.London:Cambridge University Press,1995.
  • 8Guo M Z,Meng B,Cao X H.Operator-valued free entropy and modular frames.Methods and Applications of Analysis,2004,11(3):331-344.
  • 9Lance E C.Unitary operators on Hilbert C*-module.Bull London Math Soc,1994,26(4):363-366.

同被引文献14

  • 1Duffin R J, Schaeffer A C. A class of nonharmonic Fourier series [J ]. Transactions of the American Mathematical Society, 1952, 72(2): 341.
  • 2Daubechies I, Grossmann A, Meyer Y. Painless nonorthogonal expansions [J]. Journal of Mathematical Physics, 1986, 27 (5) : 1271.
  • 3Frank M, Larsen D R. Frames in Hilbert C* -modules and C* - algebras [J]. Journal of Operator Theory, 2002, 48(2) : 273.
  • 4Khosravi A, Khosravi B. Frames and bases in tenor products of HUbert spaces and Hilbert C*-modules [J]. Proceedings Mathematical Sciences, 2007, 117(1) : 1.
  • 5Khosravi A, Khosravi B. Fusion frames and g-frames in Hilbert C*-modules [ J ]. International Journal of Wavelets Multiresolution and Information Processing, 2008, 6(3) : 433.
  • 6Lance E C. Hilbert C*-modules: a toolkit for operator algebraists [M]. Cambridge: Cambridge University Press, 1995.
  • 7Favier S, Zalik R. On the stability of frames and Riesz bases [J]. Applied and Computational Harmonic Analysis, 1995, 2 (2): 160.
  • 8Christensen O. An introduction to frames and Riesz bases [C]// Applied and Numerical Harmonic Analysis. New York: Birkhauser Boston, 2003: 347-362.
  • 9Sun W C. Stability of g-frames [J]. Journal of Mathematical Analysis and Applications, 2007, 326(2): 858.
  • 10Xiao X C, Zeng X M. Some properties of g-frames in Hilbert C"-modules [J ]. Journal of Mathematical Analysis and Applications,2010, 363(2) : 399.

引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部