Acta mathematica scientia,Series A ›› 2010, Vol. 30 ›› Issue (6): 1451-1456.

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Perturbation of g-frames and Atomic Resolution

 WANG Jing, GAO De-Zhi   

  1. School of Science Beijing Institute of Technology, Beijing 100081 College of Information Science and Engineering, Shandong University of Science and Technology, Shandong Qingdao 266510
  • Received:2007-06-07 Revised:2009-10-13 Online:2010-12-25 Published:2010-12-25

Abstract:

This paper  improves the stability of g-frames. Firstly,  some results on perturbations of g-frames are given, including the compact perturbation property. Secondly, the relation between g-frames and atomic resolution of the identity is discussed.   

Key words: g-frame, Perturbation, Atomic resolution

CLC Number: 

  • 42C15
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