Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (2): 478-491.

• Articles • Previous Articles     Next Articles

Perturbations of Standard Generalized Frames in Hilbert  W*-Module

 FU Huan-Kun, MENG Bin, DONG Fang-Fang   

  1. College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016
  • Received:2008-08-12 Revised:2010-05-12 Online:2011-04-25 Published:2011-04-25
  • Supported by:

    国家自然科学基金(10771101)和南京航空航天大学基本科研业务费专项科研项目(NS2010197)资助

Abstract:

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.

Key words: Frame, Hilbert W*-module, Generalized frame, Analyzing operator, Frame operator, Perturbation

CLC Number: 

  • 46H25
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