摘要
讨论了Ｐｅｔｉｓ可积向量值函数ｆ与线性算子Ｔ：ｘ＊→Ｌ１（μ）的关系；在域上Ｐｅｔｉｓ可积在一定条件下也在其σ－域上Ｐｅｔｉｓ可积；给出了可数可加向量测度Ｇ：∑→Ｘ＊的ｗ＊可测函数的一个表示定理．
The author discussed the relation between Pettis integral vector function f and linear operation T:X →L 1(μ) and relation between Banach space X with schur property and weak convergence in L ′ X(μ) , gave a representation theorem for w measurable function of countable additive vector measure G:Σ→X ,and a result that pettis integral function in domain is also Pettis integrable in σ domain.
出处
《四川大学学报（自然科学版）》
CAS
CSCD
北大核心
1999年第1期17-20,共4页
Journal of Sichuan University(Natural Science Edition)
