1) uniform norm
一致范数
1.
In this paper, we study the functional sample path properties for k-dimensional Brownian motion, and by the method of establishing large deviation formulas in topology of high-dimensional functions’s space generated by uniform norm, obtain the functional laws of iterated logarithm for k-dimensional Brownian motion.
利用了一致范数在高维连续函数空间生成的拓扑下建立大偏差公式的方法,获得了k-维Brown运动的泛函重对数定律。
2) unilateral convex norm
一致凸范数
3) uniformly norm estimate
范数一致估计
4) uniformed convergence of norm
范数一致收敛
1.
The problem of uniformed convergence of norm was discussed with the application of the conclusion.
观察Lipschitz条件与范数等价的命题在形式上的一致性,证明推导了结论:范数可以成为一个压缩映像,并利用这一思想来讨论范数一致收敛的问题。
5) uniformly Gateaux differentiable norm
一致Gateaux可微范数
1.
Let C be a nonempty closed convex subset of a real Banach space X which has a uniformly Gateaux differentiable norm and T be a nonexpansive self-mapping of C with F(T)≠0: Assume that {xt} converges strongly to a fixed point z of T as t→0, where xt is the unique element of C which satisfies xt = tu + (1-t)T for arbitrary u←C.
设C是具有一致Gateaux可微范数的实Banach空间X中的一非空闭凸子集,T是C中不动点集F(T)≠0的一自映象。
6) uniformaly Gateaux differential norm
一致Gateaux微分范数
补充资料：Luxemburg范数
Luxemburg范数
Luxemburg nonn
L峨曰血叱范数〔I一血叱~;J如盆c服6yP住肋p-Ma] 函数 ，‘x!.(M，一、{*:*>o，丁、(，一’x(:))‘:‘1}， G这里M(u)是关于正的u递增的偶凸函数， 怒“一’M(u)一忽u(M(u))一，一0，对“>0，M(“)>0，且G是R”中的有界集.此范数的性质曾由W.A.J.h以油比飞〔11作了研究.L~b鸣范数等价于O正ez范数(见0口厄空间(C旧允2 sP创芜))，且 I{x}I(，)簇1 lx}I，蕊2 11 x 11(、).如果函数M(u)和N(u)是互补(或互为对偶)的(见O市口类(Or比zc地”‘、则 ，，·，，(一sun{)·(!，，‘!，“!:，，，，，《一‘，}·如果z‘(t)是可测子集E CG的特征函数，则 !l:二11‘M、-一下尖二一. ““启”‘川M一’(l/n篮‘E)’
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参考词条