Norm inequalities for holomorphic semigroups

被引：0
|
作者：
T. J. Ransford
机构：
[1] Université Laval,Département de mathématiques et de statistique
来源：
Israel Journal of Mathematics | 1997年 / 97卷
关键词：
Spectral Radius; Banach Algebra; Continuous Semigroup; Subharmonic Function; Infinitesimal Generator;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Let (az)Rez>0 be a holomorphic semigroup in a Banach algebra. Provided that a certain integral along the line Rez=1 is finite, it is possible to estimate ‖az‖ purely in terms of this integral and the spectral radius ofa. This generalizes earlier results of Esterle and Sinclair (used to prove tauberian theorems), which were applicable just to radical Banach algebras.
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页码：157 / 173
页数：16
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