| RESEARCH ANNOUNCEMENTS—On a Generalization of the c—numerical Range |
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| 引用本文： | 雷天刚,邬晶华. RESEARCH ANNOUNCEMENTS—On a Generalization of the c—numerical Range[J]. 数学进展, 2002, 31(4): 381-382 |
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| 作者姓名： | 雷天刚 邬晶华 |
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| 作者单位： | 雷天刚(National Natural Science Foundation of China, Beijing, 100085, P. R. China);邬晶华(Dept. of Mathematics, City University of Hong Kong, Hong Kong, P. R. China) |
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| 基金项目： | The research of the second author was supported by Direct Allocation Fund of City University of Hong Kong (Project No. 71100118). |
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| 摘 要： | Let Cn×n be the set of n × n complex matrices and An the set of orthonormal n-tuples of vectors in Cn. For a vector c in Cn and a matrix A in Cn×n, the c-numerical range of A is the set Wc(A)={n∑i=1 Ci(Axi,xi):(x1,…xn)∈∧n} When c = (1,0,…,0), Wc(A) is reduced to the classical numerical range W(A) (see [1]). For the classical numerical range and its generalizations, one may see the survey article[2].
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| 关 键 词： | 复矩阵 向量 数值值域 Kronecker积 |
| 修稿时间： | 2002-04-17 |
On a Generalization of the c-numerical Range |
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