A remark on operator-norm convergence of Trotter-Kato product formula

被引：13
|
作者：
Tamura, H [1 ]
机构：
[1] Kanazawa Univ, Fac Sci, Dept Math, Kanazawa, Ishikawa 9201192, Japan
来源：
INTEGRAL EQUATIONS AND OPERATOR THEORY | 2000年 / 37卷 / 03期
关键词：
D O I：
10.1007/BF01194484
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An example is given which clarifies the present situation of the operator norm convergence of Trotter-Kato product formula. It shows that the rate of convergence of the formula with respect to the operator norm obtained in [NZ2] is best possible. It also yields a counter-example of the operator norm convergence of the formula in another case.
引用
收藏
页码：350 / 356
页数：7
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