Condition spectra of special operators and condition spectra preservers

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• 作者：Mohamed Bendaoud^a ; ^{m.bendaoud@ensam-umi.ac.ma} ; Ayyoub Benyouness^b ; ^{benyouness@fs-umi.ac.ma} ; Mustapha Sarih^b ; ^{sarih@fs-umi.ac.ma}
• 关键词：Operator ; Condition spectrum ; Condition spectral radius ; Nonlinear preservers
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2017
• 出版时间：1 May 2017
• 年：2017
• 卷：449
• 期：1
• 页码：514-527
• 全文大小：332 K
• 卷排序：449

文摘

Let HH be a complex Hilbert space and let L(H)L(H) be the algebra of all bounded linear operators on HH. Descriptions of the condition spectra of various special classes of operators are established. As application, characterization is obtained for maps on L(H)L(H) leaving invariant the condition spectrum or the condition spectral radius of the product of operators. Analogous results are obtained for Jordan triple product of operators.