| 交换Banach代数的谱延拓性质 |
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| 引用本文： | 王永革,曹小红. 交换Banach代数的谱延拓性质[J]. 曲阜师范大学学报, 1999, 25(1) |
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| 作者姓名： | 王永革 曹小红 |
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| 作者单位： | 曲阜师范大学数学与计算机科学系 |
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| 摘 要： | 通过研究交换Ｂａｎａｃｈ代数Ａ与Ａ／ｒａｄＡ的关系，得到了Ａ具有谱延拓性质、强谱延拓性质、乘法Ｈａｈｎ＿Ｂａｎａｃｈ性质的充要条件．作为一个推论，当Ａ为半单时，得到Ｍｅｙｅｒ（１９９１）的结论．
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| 关 键 词： | 唯一性集 谱延拓 强谱延拓 乘法Hahn-Banach |
THE SPECTRAL EXTENSION PROPERTY OF COMMUTATIVE BANACH ALGEBRA |
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| Wang Yongge,Cao Xiaohong. THE SPECTRAL EXTENSION PROPERTY OF COMMUTATIVE BANACH ALGEBRA[J]. Journal of Qufu Normal University(Natural Science), 1999, 25(1) |
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| Authors: | Wang Yongge Cao Xiaohong |
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| Abstract: | In this paper, investigates the relationship of commutative Banach algebras A and A /rad A , We get the sufficient and necessary conditions of A having spectral extension property. Strong spectral extension property, multiplicativa Hahn_Banach property. As a corollary, When A is a semi_Simple Algebra, we have the results of Meyer(1991). |
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| Keywords: | A set of uniqueness Spectral extension property Strong spectral extension property Multiplicative Hahn_Banach property |
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