| 关于连续迹C~*-代数间映射的谱 |
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| 引用本文： | 方小春,成荣,邱伯驺.关于连续迹C~*-代数间映射的谱[J].数学学报,2003,46(3):453-456. |
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| 作者姓名： | 方小春 成荣 邱伯驺 |
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| 作者单位： | 同济大学应用数学系,上海,200092 |
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| 基金项目： | 国家自然科学基金资助项目(10271090)，国家自然科学基金部分资助项目(20175013) |
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| 摘 要： | 本文引进了连续迹C*-代数间映射的谱,并证明了其是C*-代数谱空间的 闭子集进而给出了刻划.同时,我们得到了诸如下半连续性等类似于形如C(X)Mn C*-代数间映射的谱性质.
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| 关 键 词： | 连续迹代数 映射 谱性质 |
| 文章编号： | 0583-1431(2003)03-0453-04 |
| 修稿时间： | 2001年4月11日 |
The Mapping Spectrum Between C~*-Algebras of Continuous Trace |
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| Xiao Chun FANG Rong CHENG Bo Zou QIU.The Mapping Spectrum Between C~*-Algebras of Continuous Trace[J].Acta Mathematica Sinica,2003,46(3):453-456. |
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| Authors: | Xiao Chun FANG Rong CHENG Bo Zou QIU |
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| Institution: | Xiao Chun FANG Rong CHENG Bo Zou QIU (Department of Applied Mathematics, Tongji University, Shanghai 200092, P. R. China) |
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| Abstract: | In this note, the mapping spectrum between C*-algebras of continuous trace is introduced, and proved to be a closed subset of the spectrum space of initial C*-algebras. Some properties similar to those of mappings between C*-algebras of the form C(X) Mn, such as lower semi-continuity, have been obtained. |
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| Keywords: | Continuous-trace-algebras Mappings Spectrum properties |
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