[Banach] Abstract of a paper by Dongyang Chen, Lei Li and Bentuo Zheng

This is an announcement for the paper "Perturbations of frames" by Dongyang Chen, Lei Li and Bentuo Zheng.

Abstract: In this paper, we give some sufficient conditions under which perturbations preserve Hilbert frames and near-Riesz bases. Similar results are also extended to frame sequences, Riesz sequences and Schauder frames. It is worth mentioning that some of our perturbation conditions are quite different from those used in the previous literatures on this topic.

Archive classification: math.FA

Remarks: to appear in Acta MAth. Sinica, English Series

Submitted from: leilee@nankai.edu.cn

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1312.3460

or

http://arXiv.org/abs/1312.3460