Numerical range and functional calculus in Hilbert space
Numerical range and functional calculus in Hilbert space
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DOI：
10.1016/j.jfa.2006.10.013
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发表时间：
2007-03
影响因子：
1.7
通讯作者：
M. Crouzeix
中科院分区：
文献类型：
--
作者：
M. Crouzeix
证明了一个与方阵的多项式函数有关的不等式，涉及方阵的数值域。我们还表明有效的扩展有界和无界算子在希尔伯特空间，允许发展的功能演算。
We prove an inequality related to polynomial functions of a square matrix, involving the numerical range of the matrix. We also show extensions valid for bounded and also unbounded operators in Hilbert spaces, which allow the development of a functional calculus.