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1)  nearly uniformly convex
接近一致凸
1.
A sufficient and necessary condition of nearly uniformly smooth is given,It is shown that Banach space X is locally uniformly convex if and only if X is locally nearly uniformly convex and strictly convex and has(WM)property.
给出了Banach空间X是接近一致光滑的一个很简明的充要条件,证明了Banach空间X是局部一致凸的当且仅当X是局部接近一致凸,且X是严格凸,并具有(WM)性质。
2)  locally nearly uniformly convex
局部接近一致凸
1.
A sufficient and necessary condition of nearly uniformly smooth is given,It is shown that Banach space X is locally uniformly convex if and only if X is locally nearly uniformly convex and strictly convex and has(WM)property.
给出了Banach空间X是接近一致光滑的一个很简明的充要条件,证明了Banach空间X是局部一致凸的当且仅当X是局部接近一致凸,且X是严格凸,并具有(WM)性质。
3)  nearly unfirmly convexity
接近一致凸性
4)  locally k-nearly uniform convexity
局部k近一致凸
5)  near(compact) K uniform convexity
近(紧)K一致凸
6)  nearly uniformly smooth
接近一致光滑
1.
A sufficient and necessary condition of nearly uniformly smooth is given,It is shown that Banach space X is locally uniformly convex if and only if X is locally nearly uniformly convex and strictly convex and has(WM)property.
给出了Banach空间X是接近一致光滑的一个很简明的充要条件,证明了Banach空间X是局部一致凸的当且仅当X是局部接近一致凸,且X是严格凸,并具有(WM)性质。
补充资料:凸凸
1.高出貌。
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