CHARACTEIZATIONS OF WOVENT g-FRAMES AND WEAVING g-FRAMES IN HILBERT SPACESS AND C^(*)-MODULES  

作　　者：Amir KHOSRAVI Mohammad Reza FARMANI 

机构地区：[1]Faculty of Mathematical Sciences and Computer,Kharazmi University,599 Taleghani Ave.,Tehran 15618,Iran

出　　处：《Acta Mathematica Scientia》2023年第6期2471-2482,共12页数学物理学报（B辑英文版）

摘　　要：In this paper,using Parseval frames we generalize Sun’s results to g-frames in Hilbert C^(*)-modules.Moreover,for g-frames in Hilbert spaces,we present some characterizations in terms of a family of frames,not only for orthonormal bases.Also,we have a note about a comment and a relation in the proof of Proposition 5.3 in[D.Li et al.,On weaving g-frames for Hilbert spaces,Complex Analysis and Operator Theory,2020].Finally,we have some results for g-Riesz bases,woven and P-woven g-frames.

关 键 词：G-FRAME fusion frame woven frame Riesz basis g-Riesz basis 

分 类 号：O177.1[理学—数学]