Quasi-Modular Preserving Rank One Maps on Hilbert $C^*$-Modules
Received:August 28, 2010  Revised:May 26, 2011
Key Words: Hilbert $C^*$-module   coordinate inverse   quasi-modular map.  
Fund Project:Supported by the National Natural Science Foundation of China (Grant No.11171151).
Author NameAffiliation
Bin MENG Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Jiangsu 210016, P. R. China 
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Abstract:
      In this paper, we characterize a class of quasi-modular maps on Hilbert $C^\ast$-modules which map a ``rank one" adjointable operator to another rank one operator.
Citation:
DOI:10.3770/j.issn:2095-2651.2012.04.010
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