摘要
建立C-半群的微分与积分公式以及Taylor展开式。
Let C be an injective linear operator on a Banach space . Strongly continuous family {S(t) |t≥ 0} of bounded linear operators on is called a C-semigroups. if 5(0) = C and S(t)S(s) = S(t + s)C for t,s > 0. The C-infinitesimal generator A of S(·) is defined as Ax -C-1{S- lim t-1[S(t)x - Cx]} with its domain (A) consisting of all those x for which the limit existsand lies in the Range(C) of C. In this paper, the analytical properties of the C-infinitesimal generator are investigated.
出处
《厦门大学学报（自然科学版）》
CAS
CSCD
北大核心
1993年第2期135-140,共6页
Journal of Xiamen University：Natural Science
基金
福建省自然科学基金
关键词
无穷小生成元
C半群
巴拿赫空间
Injective, C-semigroups, C-infinitesimal generator
