Weyl's theorem for algebraically quasi-$*$-$A$ operators
Weyl's theorem for algebraically quasi-$*$-$A$ operators
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DOI：
10.15352/bjma/1358864552
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发表时间：
2013
影响因子：
1.2
通讯作者：
Fei Zuo;Hong-liang Zuo
中科院分区：
文献类型：
--
作者：
Fei Zuo;Hong-liang Zuo
本文证明了如下结论：（1）若T是代数拟A算子，则T是极面。(2)若T或T是代数拟A算子，则Weyl定理对f（T）对每个f2 H（（T））成立. (3)若T是代数拟A算子，则a-Weyl定理对f（T）对任意f2 H（（T））成立.
In the paper, we prove the following assertions: (1) If T is an algebraically quasi- -A operator, then T is polaroid. (2) If T or T is an algebraically quasi- -A operator, then Weyl's theorem holds for f(T ) for every f 2 H( (T )). (3) If T is an algebraically quasi- -A operator, then a-Weyl's theorem holds for f(T ) for every f2 H( (T )).