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| A C*-ALGEBRA APPROACH TO THE IRREDUCIBILITY OF COWEN-DOUGLAS OPERATORS |
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Citation： |
XUE Yifeng,WANG Zongyao.A C*-ALGEBRA APPROACH TO THE IRREDUCIBILITY OF COWEN-DOUGLAS OPERATORS[J].Chinese Annals of Mathematics B,1999,20(3):305~308 |
| Page view： 1130
Net amount： 782 |
Authors： |
XUE Yifeng; WANG Zongyao |
Foundation： |
National Natural Science
Foundation of China |
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| Abstract： |
The authors consider the irreducibility of the Cowen-Douglas
operator $T$. It is proved that $T$ is irreducible iff the unital $C^*$-algebra
generated by some non-zero blocks in the decomposition of $T$ with respect to
$\bigoplus^\infty_{n=0}\limits(\Ker T^{n+1}\ominus\Ker T^n)$ is
$\text{M}_n(\Bbb C).$ |
Keywords： |
$C^*$-algebras, Cowen-Douglas operators, Irreducible
operators, Pojections |
Classification： |
47B, 46L |
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