Acta mathematica scientia,Series A ›› 2009, Vol. 29 ›› Issue (3): 613-622.

• Articles • Previous Articles     Next Articles

Generalized Perturbation Results of Banach Frames and Atomic Decompositions on Banach Spaces

  

  1. (College of Mathematics and Information Science, Henan University, Henan Kaifeng 475001)
  • Received:2007-08-26 Revised:2008-11-30 Online:2009-06-25 Published:2009-06-25
  • Supported by:

    河南省创新型科技人才队伍建设工程项目(084100510012)、国家自然科学基金(10671062)和河南省教育厅自然科学基金(2008B510001)资助

Abstract:

Frame perturbation is one of active research contents in frame theory, but it was discussed on a Hilbert space in most literatures. This paper
presents the perturbations of Banach frames and atomic decompositions on a Banach space, and obtains some more generalized perturbation results. It is shown that many known results are corollaries of our results.

Key words: Banach frame, Atomic decomposition, Perturbation.

CLC Number: 

  • 42C15
Trendmd