Onp-hyponormal operators for 0

Onp-hyponormal operators for 0
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DOI:
10.1007/bf01199886
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发表时间:
1990-05
影响因子:
0.8
通讯作者:
Ariyadasa Aluthge
Ariyadasa Aluthge
中科院分区:
数学3区
文献类型:
--
作者:
Ariyadasa Aluthge

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亚正规算子的距离公式<$Tt-λI)−1 <$$>=[Dist(λ,σ(T)]−1,λ <$σ(T)是0<p<1的广义top-hyponormal算子。关于U和的特征空间的几个结果|不|并求出了联合点谱和谱半径,其中|不|=(T*T)1/2,U是p-亚正规算子T =U的极分解中的酉算子|不|.
The distance formula ‖Tt-λI)−1‖=[Dist(λ, σ(T)]−1, λ∉σ(T), for hyponormal operators, is generalized top-hyponormal operators for 0<p<1. Several other results involving eigenspaces ofUand |T|, the joint point spectrum, and the spectral radius are also otained, where |T|=(T*T)1/2andUis the unitary operator in the polar decomposition of thep-hyponormal operatorT=U|T|.