Linear maps preserving the essential spectral radius

Linear maps preserving the essential spectral radius
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保留基本光谱半径的线性图

DOI:
10.1016/j.laa.2007.09.010
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发表时间:
2008
影响因子:
1.1
通讯作者:
M. Sarih
M. Sarih
中科院分区:
数学3区
文献类型:
--
作者:
M. Bendaoud;A. Bourhim;M. Sarih

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设L(H)是无限维复Hilbert H上所有有界线性算子的代数,刻划了从L(H)到其自身的保持本质谱半径的线性映射.
Let L(H) be the algebra of all bounded linear operators on an infinite dimensional complex Hilbert H. We characterize linear maps from L(H) onto itself that preserve the essential spectral radius.