Positive semigroups of operators on Banach spaces

Journal of the Australian Mathematical Society

K. F. Ng¹ 

关键词: 47 D 05;    47 H 07;    47 B 44;    46 A 40;   

DOI  :  10.1017/S1446788700031232

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

We prove a version of the Feller-Miyadera-Phillips theorem characterizing the infinitesimal generators of positive C0-semigroups on ordered Banach spaces with normal cones. This is done in terms of N(A) as well as the canonical half-norms of Arendt Chernoff and Kato defined by N(a) = inf{‖b‖ |b ≥ a}, where N(A) = sup{N(Aa) |N(a) ≶ 1} for operator A. A corresponding result on –semigroups is also given.

【 授权许可】

Unknown