| 关于Banach代数上的全纯函数的若干结果 |
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| 引用本文： | 陈公宁.关于Banach代数上的全纯函数的若干结果[J].北京师范大学学报(自然科学版),1987(4). |
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| 作者姓名： | 陈公宁 |
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| 作者单位： | 北京师范大学数学系 |
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| 摘 要： | 在推广复Banach代数的极大原理与谱映射定理基础之上,本文得到著名的von Neumann-Heinz定理与Fan Ky定理的推广,Hilbert空间上算子的最大模原理,以及这些结果的谱半径类似形式.一些推论,其中包括Schwarz引理的两种变异结果,也被得到.
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| 关 键 词： | Banach代数 全纯函数 |
ON SOME RESULTS OF BANACH ALGEBRA-VALUED HOLOMORPHIC FUNCTIONS |
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| Chen Gongning.ON SOME RESULTS OF BANACH ALGEBRA-VALUED HOLOMORPHIC FUNCTIONS[J].Journal of Beijing Normal University(Natural Science),1987(4). |
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| Authors: | Chen Gongning |
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| Institution: | Oepartment of Mathematics |
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| Abstract: | Generalizing the notion of maximum principle and the spectral mapping theorem in complex Banach algebras, the author obtains extended forms of theorems of von Neumann-Heinz, and Ky Fan, a version of the maximum modulus principle for operators on a Hilbert space, and their analogues in which norms are replaced by the spectral radii,respectively. A few corollaries are appended as applications, including two versions of Schwarz's lemma. |
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| Keywords: | Banach algebra holomorphic function |
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