In this paper we apply Bishop-Phelps property to show that if X is a Banach space and G _ X is the maximal subspace so that G⊥ ： {x＊ ∈ X＊ ｜x＊ （y） = 0; y ∈ G} is an L-summand in X＊, then L1 （Ω, G） is co...In this paper we apply Bishop-Phelps property to show that if X is a Banach space and G _ X is the maximal subspace so that G⊥ ： {x＊ ∈ X＊ ｜x＊ （y） = 0; y ∈ G} is an L-summand in X＊, then L1 （Ω, G） is contained in a maximal proximinal subspace of L1（Ω,X）.展开更多
文摘In this paper we apply Bishop-Phelps property to show that if X is a Banach space and G _ X is the maximal subspace so that G⊥ ： {x＊ ∈ X＊ ｜x＊ （y） = 0; y ∈ G} is an L-summand in X＊, then L1 （Ω, G） is contained in a maximal proximinal subspace of L1（Ω,X）.
