Hermitian and positive C-semigroups on Banach spaces

被引：4
作者：
Li, YC
Shaw, SY
机构：
[1] CHUNG YUAN CHRISTIAN UNIV,DEPT MATH,CHUNGLI,TAIWAN
[2] NATL CENT UNIV,DEPT MATH,CHUNGLI 32054,TAIWAN
来源：
PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES | 1995年 / 31卷 / 04期
关键词：
D O I：
10.2977/prims/1195163918
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Two classes of operator families, namely n-times integrated C-semigroups of hermitian and positive operators on Banach spaces, are studied. By using Gelfand transform and a theorem of Sinclair, we prove some interesting special properties of such C-semigroups. For instances, every hermitian nondegenerate n-times integrated C-semigroup on a reflexive space is the n-times integral of some hermitian C-semigroup with a densely defined generator; an exponentially bounded C-semigroup on L(p)(mu)(1 < p < infinity) dominates C (a positive injective operator) if and only if its generator A is bounded, positive,and commutes with C; when C has dense range, the latter assertion is also true on L(1)(mu) and C-0(Omega).
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收藏
页码：625 / 644
页数：20
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