OPERATOR-NORM APPROXIMATIONS OF HOLOMORPHIC ONE-PARAMETER SEMIGROUPS OF CONTRACTIONS IN HILBERT SPACES

被引：0
|
作者：
Arlinskii, Yury [1 ]
机构：
[1] East Ukrainian Natl Univ, Dept Math Anal, 20-A Kvartal Molodizhny, UA-91034 Lugansk, Ukraine
来源：
METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY | 2012年 / 18卷 / 02期
关键词：
Maximal sectorial operators; the Iosida approximation; the Dunford-Segal approximation;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We establish the operator-norm convergence of the Iosida and DunfordSegal approximation formulas for one-parameter semigroups of the class C-0, generated by maximal sectorial generators in separable Hilbert spaces. Our approach is essentially based on the Crouzeix-Delyon theorem [8] related to the generalization of the von Neumann inequality.
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页码：101 / 110
页数：10
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