Title : 
Moment Problem of G-frames in Hilbert Spaces
         
        
            Author : 
Wang, Xiangyang ; Shu, Zhibiao
         
        
            Author_Institution : 
Coll. of Math. & Comput. Sci., Fuzhou Univ., Fuzhou, China
         
        
        
        
        
        
            Abstract : 
In this paper, we discuss the moment problem of g-frames in Hilbert spaces. Firstly, we give the definition of moment problem which is based on operators, and discuss the necessary and sufficient conditions of the existence of its solution. Secondly, we discuss its best approximative solution by orthogonal projection when it has no exact solution.
         
        
            Keywords : 
Hilbert spaces; G-frames; hilbert spaces; moment problem; orthogonal projection; Educational institutions; Equations; Hilbert space; Mathematical model; Presses; Sun; Vectors; Best approximative solution; Moment problem; Orthogonal projection; g-Riesz basis;
         
        
        
        
            Conference_Titel : 
Distributed Computing and Applications to Business, Engineering and Science (DCABES), 2011 Tenth International Symposium on
         
        
            Conference_Location : 
Wuxi
         
        
            Print_ISBN : 
978-1-4577-0327-0
         
        
        
            DOI : 
10.1109/DCABES.2011.61