sum from e to 1型Banach空间中某些C_0半群和余弦族的生成元的连续性  

Continuity for the Generators of some C_0-semigroups and Cosine Families in sum from e to 1 Type Banach Spaces

作　　者：苏维钢[1] 钟怀杰[1] 

机构地区：[1]福建师范大学数学与计算机科学学院,福州350007

出　　处：《数学物理学报（A辑）》2009年第2期392-398,共7页Acta Mathematica Scientia

基　　金：国家自然科学基金(10771034,10471025);福建省自然科学基金(Z0511019)资助

摘　　要：给出在sum from e to 1型Banach空间中一致有界C_0半群的生成元是有界线性算子的若干充分条件.证明了在sum from e to 1型Banach空间中由Hermitian算子或由等距算子组成的C_0半群的生成元都是有界线性算子.证明了在sum from e to 1型Banach空间中每个强连续非拟解析余弦族的生成元必是有界线性算子.This paper gives some sufficient conditions for the generators of uniformly bounded C0-semigroups to be bounded linear oprators in ∑e^1 type Banach spaces; shows that the generator of C0-semigroup consisting of Hermitian operators or isometrics is always a bounded linear operator in such spaces; shows that the generator of strongly continuous non-quasianalytic cosine family is necessarily a bounded linear operator in such spaces.

关 键 词：∑e^1型空间 C0半群 余弦族 生成元 

分 类 号：O177.2[理学—数学]