| XUE Yifeng,WANG Zongyao.[J].数学年刊A辑,1999,20(3):305~308 |
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| A {\tf C}*-ALGEBRA APPROACH TO THE IRREDUCIBILITY OFCOWEN-DOUGLAS OPERATORS |
| Received:May 15, 1998 Revised:December 07, 1998 |
| DOI： |
| 中文关键词: |
| 英文关键词:$C^*$-algebras, Cowen-Douglas operators, Irreducible
operators, Pojections |
| 基金项目: |
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| 中文摘要: |
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| 英文摘要: |
| 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
$\text{M}_n(\Bbb C).$ |
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