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1)  local uniformly convex
局一致凸
1.
This paper uses uniform and simple form to treat uniformly convex, local uniformly convex, weak uniformly convex, weak local uniformly convex, strictly convex, (M) property and (WM) property in Banach space and an equivalence characterization of them in Banach space is given.
用统一且简洁形式处理Banach空间的一致凸、局一致凸、弱一致凸、弱局一致凸、严格凸及(M)性质和(WM)性质,给出了它们的一种等价刻画。
2)  Locally uniformly convex
局部一致凸
1.
Some results are given on uniformly convex, locally uniformly convex.
利用Banach空间中一阶特征函数刻画Banach空间的几何性质,得到关于一致凸、局部一致凸的结果。
3)  weak local uniformly convex
弱局一致凸
1.
This paper uses uniform and simple form to treat uniformly convex, local uniformly convex, weak uniformly convex, weak local uniformly convex, strictly convex, (M) property and (WM) property in Banach space and an equivalence characterization of them in Banach space is given.
用统一且简洁形式处理Banach空间的一致凸、局一致凸、弱一致凸、弱局一致凸、严格凸及(M)性质和(WM)性质,给出了它们的一种等价刻画。
4)  locally uniformly
局部一致凸函数
1.
The concepts such as locally uniformly convex function,compactly locally uniformly convex function and strong U-point are given.
将有关Banach空间中范数凸性的结果推广到一般的凸函数中去,给出了局部一致凸函数,紧局部一致凸函数,强U-点等概念,并详细讨论了各种凸函数之间的关系及点态性质。
5)  weak local uniform rotundity
弱局部一致凸
1.
In this paper, we discuss midpoint local uniform rotundity, weak local uniform rotundity and strong rotundity of Cesaro vector_valued sequence spaces cesp(Ek),and give their cirtieria.
讨论了Cesaro矢值序列空间cesp(Ek)的中点局部一致凸、弱局部一致凸和强凸性,给出了它们的判据。
6)  (weakly)locally K-uniformly convex
(弱)局部K一致凸
补充资料：凸凸
1.高出貌。
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