Frechet空间的一个核性特征 A CHARACTERIZATION OF NUCLEARITY IN FRECHET SPACES 刘培德 Liu Peide first-author 本文证明了通常所知的一个关于可测函数一致可积的条件实际上是核Frechet空间的特征性质,作为推论,给出了有限维Banach空间的特征。 In this Papery We proved the following theorem Suppose X is a Frechet Space, then the following are equivalent: (1) X is nuclear; (2) if {f n (ω)} is arty sequence of functions in L(μ, X) and f n (ω) du exists for every A∈∑, then {f n (ω)} are uniformly integrable family. 1986-02-01 2021-04-01 2