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C0半群高阶微分算子的谱
引用本文:杨茂. C0半群高阶微分算子的谱[J]. 数学季刊, 2000, 15(2): 76-79
作者姓名:杨茂
作者单位:郑州粮食学院基础部!河南郑州450052
摘    要:本文研究了C0半群T(t)的高阶微分算子T(n)(t)的谱给出了T^(n)(t)的谱集的一种构造方法,讨论了T(n)(t)的谱点与T(t)的无穷小生成元A的谱点之间的关系。

关 键 词:C0半群 谱点 高阶微分算子

The Spectrum of High Rank Differential Operators of the C0 Semigroups
YANG Mao. The Spectrum of High Rank Differential Operators of the C0 Semigroups[J]. Chinese Quarterly Journal of Mathematics, 2000, 15(2): 76-79
Authors:YANG Mao
Abstract:In this paper,the author study the spectrum of high rank differential operators T (n) (t) of C 0 Semigroup T(t) ,given an approach to construct the spectral set opetator T (n) (t) ,and discussed the relation between the spectral points of both T (n) (t) and infinitesimal generator A of T(t) .
Keywords:C 0 semigroup  n rank differential opetator  spectral point.
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