| 幂级数Banach代数与自动连续性 |
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| 引用本文： | 曹怀信. 幂级数Banach代数与自动连续性[J]. 陕西师范大学学报(自然科学版), 1988, 0(2) |
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| 作者姓名： | 曹怀信 |
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| 作者单位： | 陕西师大数学系 |
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| 摘 要： | 本文引入了 Banach 代数上的幂级数 Banach 代数,研究了它本身的性质并给出了有关同态的自动连续性及其一般形式,得到 Banach 代数范畴上两个正合协变函子;从而获得构造交换根 Banach 代数的一种方法.
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| 关 键 词： | 幂级数 Banach代数 自动连续性 |
BANACH ALGEBRA OF POWER SERIES AND AUTOMATIC CONTINUITY |
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| Cao Huaixin. BANACH ALGEBRA OF POWER SERIES AND AUTOMATIC CONTINUITY[J]. Journal of Shaanxi Normal University: Nat Sci Ed, 1988, 0(2) |
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| Authors: | Cao Huaixin |
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| Affiliation: | Department of Mathematics |
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| Abstract: | In this paper,we introduce and study the Banach algebra of power series over a Banach algebra.We prove the automatic continuity of some homomorphisms and give their standard forms.We also give two covariant exact functors from the category of Banach algebra and obtain a method by which a commutative radical Banach algebra can be constructed. |
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| Keywords: | Power Series Banach Algebra Automatic Continuity |
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