Quadric Completion of Operator Partial Matrices (Ⅰ)
Received:October 30, 1997  
Key Words: operator matrix   completion.  
Fund Project:Supported by NNSFC(19671055) and PNSFS(981009)
Author NameAffiliation
CUI Jian-lian Dept. of Math.
Shanxi Teachers′ University
Linfen
China 
HOU Jin-chuan Dept. of Math.
Shanxi Teachers′ University
Linfen
China 
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Abstract:
      For a given quadric polynomial p(t), the necessary and sufficient conditions are obtained for operator partial matrices of the form (?) to be completed to an operator T such that p(T) = 0. Moreover, all such possible completions, if exist, are presented parametrically.
Citation:
DOI:10.3770/j.issn:1000-341X.2000.03.001
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