关于L^1(μ)上有界线性算子的逼近性质与局部化性质

On the approxim ate property and localizing property of bounded linear operators on L^1(μ)

本文指出 :Banach空间 L1( μ)到 Banach空间 X中的有界线性算子的紧性、弱紧性、可凹性与Riesz可表示性分别在逼近意义与局部化意义下相互等价 .

In this paper,it was shown that compactness,weakly compactness,dentability and Riesz representability of bounded linear operators from Banach spaces L1( μ) to Banach spaces X are eauivalant each other in approxim ation and localization senses.