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Some properties of g-frames in Hilbert C∗-modules

Authors :
Xiang-Chun Xiao
Xiao-Ming Zeng
Source :
Journal of Mathematical Analysis and Applications. 363:399-408
Publication Year :
2010
Publisher :
Elsevier BV, 2010.

Abstract

In this paper we give some new results for g-frames in Hilbert C∗-modules and then we introduce a bounded A-linear operator L, by means of this operator L we character the properties of the g-frames and g-Riesz basis in Hilbert C∗-modules. Finally, we establish some important equalities and inequalities for frames and g-frames in Hilbert C∗-modules.

Details

ISSN :
0022247X
Volume :
363
Database :
OpenAIRE
Journal :
Journal of Mathematical Analysis and Applications
Accession number :
edsair.doi.dedup.....20513a51fd69156c72139166ca4b7d21
Full Text :
https://doi.org/10.1016/j.jmaa.2009.08.043