| Some ω-unique and ω-P Properties for Linear Transformations on Hilbert Spaces |
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| 作者姓名： | Xin-he Miao Zheng-hai Huang Ji-ye Han |
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| 作者单位： | [1]Department of Mathematics, School of Science, Tianjin University, Tianjin 300072, China [2]Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China |
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| 基金项目： | Supported by the National Natural Science Foundation of China （No. 10871144） and the Natural Science Foundation of Tianjin （No. 07JCYBJC05200）. |
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| 摘 要： | Given a real （finite-dimensional or infinite-dimensional） Hilbert space H with a Jordan product, we introduce the concepts of ω-unique and ω-P properties for linear transformations on H, and investigate some interconnections among these concepts. In particular, we discuss the ω-unique and ω-P properties for Lyapunov-like transformations on H. The properties of the Jordan product and the Lorentz cone in the Hilbert space play important roles in our analysis.
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| 关 键 词： | Hilbert空间 空间属性 线性变换 希尔伯特空间 李雅普诺夫 无限维 有限维 洛仑兹 |
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