Weyl's Theorem for Class A Operators

Weyl's Theorem for Class A Operators
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A 类算子的韦尔定理

DOI:
10.7153/mia-04-11
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发表时间:
2001
影响因子:
1
通讯作者:
A. Uchiyama
A. Uchiyama
中科院分区:
数学4区
文献类型:
--
作者:
A. Uchiyama

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本文证明了Weyl定理在一定条件下对A类算子成立。我们还证明了Weyl谱等于一点集{0}的a类算子总是紧正规的。数学学科分类(2000):47A53, 47B20。
In this paper, we show that Weyl’s theorem holds for class A operators under a certain condition. We also show that a class A operator whose Weyl spectrum equals to the one-point set {0} is always compact and normal. Mathematics subject classification (2000): 47A53, 47B20.