SOME PROPERTIES OF OPERATOR-VALUED FRAMES  

作　　者：Laura GAVRUTA Pasc GAVRUTA 

机构地区：[1]politehnica university of timisoara,department of mathematics,Victoriei Square no.2,300006 Timisoara,Romania

出　　处：《Acta Mathematica Scientia》2016年第2期469-476,共8页数学物理学报（B辑英文版）

基　　金：The final work of P.Gǎvruta on this article was supported by a grant of Romanian National Authority for Scientific Research,CNCS-UEFISCDI,project number PN-II-ID-JRP-2011-2/11-RO-FR/01.03.2013

摘　　要：Operator-valued frames （or g-frames） are generalizations of frames and fusion frames and have been used in packets encoding, quantum computing, theory of coherent states and more. In this article, we give a new formula for operator-valued frames for finite dimensional Hilbert spaces. As an application, we derive in a simple manner a recent result of A. Najati concerning the approximation of g-frames by Parseval ones. We obtain also some results concerning the best approximation of operator-valued frames by its alternate duals, with optimal estimates.Operator-valued frames （or g-frames） are generalizations of frames and fusion frames and have been used in packets encoding, quantum computing, theory of coherent states and more. In this article, we give a new formula for operator-valued frames for finite dimensional Hilbert spaces. As an application, we derive in a simple manner a recent result of A. Najati concerning the approximation of g-frames by Parseval ones. We obtain also some results concerning the best approximation of operator-valued frames by its alternate duals, with optimal estimates.

关 键 词：FRAMES g-frames 

分 类 号：O177[理学—数学]