Spectral properties and norm estimates associated to the Cc(k)-functional calculus

被引：0
|
作者：
Galé, JE
Miana, PJ
Pytlik, T
机构：
[1] Univ Zaragoza, Dept Mat, Zaragoza 50009, Spain
[2] Univ Wroclaw, Inst Math, PL-50384 Wroclaw, Poland
来源：
JOURNAL OF OPERATOR THEORY | 2002年 / 48卷 / 02期
关键词：
functional calculus; holomorphic semigroups; abstract Cauchy problem; multipliers;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that the Davies functional calculus and the AC((nu))-calculus coincide under common hypotheses. Then we apply the calculus to operators on Banach spaces, to investigate spectral invariance and norm estimates linked to abstract Cauchy equations. This extends some previous results in the area, and unifies diverse approaches. The theory is applied to operators related to multiplier theory on Lie groups.
引用
收藏
页码：385 / 418
页数：34
相关论文
共 50 条
12345