The Sum of Standard Generalized Frames in Hilbert $W^*$-Module
Received:February 08, 2007  Revised:September 07, 2007
Key Words: generalized frame in Hilbert $W^\ast$-module   analyzing operator   dual generalized frame   frame operator   disjointness   strong disjointness.  
Fund Project:the National Natural Science Foundation of China (No.10771101) and Chuangxin Funds of Nanjing University of Aeronautics and Astronautics (No.987561).
Author NameAffiliation
FU Huan Kun Department of Mathematics, Nanjing University of Aeroautics and Astronautics, Jiangsu 210016, China 
MENG Bin Department of Mathematics, Nanjing University of Aeroautics and Astronautics, Jiangsu 210016, China 
DONG Fang Fang Department of Mathematics, Nanjing University of Aeroautics and Astronautics, Jiangsu 210016, China 
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Abstract:
      In this paper, the sum of standard generalized frames of Hilbert $W^\ast$-module is studied intensively by using operator-theoretic-methods, and some conditions are given to assure that the sum of two or more standard generalized frames is a standard generalized frame.
Citation:
DOI:10.3770/j.issn:1000-341X.2009.02.010
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