论文标题
矢量值函数空间中的属性
A property in vector-valued function spaces
论文作者
论文摘要
本文介绍了一种相当于可分离空间的普遍豪华的属性。因此，它似乎是Banach空间的几何特性，可确保拥有Mazur-Ulam属性的空间。我们证明，如果Banach Space $ X $在$ C（K，X）$享受此属性时才享受此属性。我们还显示出相同的结果，以$ l_ \ infty（μ，x）$和$ l_1（μ，x）$。
This paper deals with a property which is equivalent to generalised-lushness for separable spaces. It thus may be seemed as a geometrical property of a Banach space which ensures the space to have the Mazur-Ulam property. We prove that if a Banach space $X$ enjoys this property if and only if $C(K,X)$ enjoys this property. We also show the same result holds for $L_\infty(μ,X)$ and $L_1(μ,X)$.
