Quadric Completion of Operator Partial Matrices (Ⅰ) |
Received:October 30, 1997 |
Key Words:
operator matrix completion.
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Fund Project:Supported by NNSFC(19671055) and PNSFS(981009) |
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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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