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| ON THE APPROXIMATELY SIMILARITY OF OPERATORS |
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Citation： |
Wei Guoqiang.ON THE APPROXIMATELY SIMILARITY OF OPERATORS[J].Chinese Annals of Mathematics B,1998,19(4):465~472 |
| Page view： 1123
Net amount： 709 |
Authors： |
Wei Guoqiang; |
Foundation： |
the National Natural Science Foundation of China |
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| Abstract： |
The author shows that a rank-preserving $*$-isomorphism
between separable $C^*$-algebras with unity is approximately equivalent to the identity representation. Some applications are made for approximately similarity of $n$-tuples of operators. |
Keywords： |
$C^*$-algebra, Rank-preserving $*$-isomorphism, Approximately
equevalent, Approximately similar, $n$-tuples of operators |
Classification： |
47B20, 47B35, 47B40, 47C10 |
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