1) Banach lattice space norm
Banach格空间范数
1.
Provides the conditions for the monotonicity of a sort of Banach lattice space norm and its local uniform monotonicity and further proves that the space is the sufficient and necessary condition for the completion of the weak sequence.
给出了一类 Banach格空间范数的单调性及局部一致单调性的条件 ,进一步得到了该空间是弱序列完备的充要条件。
2) strictly convex Banach space
严格凸Banach空间
1.
By using point valued for set-valued mappings in strictly convex Banach space,a sufficient and necessary condition for Ishikawa multistep iterative processing with errors for asymptotically quasi-nonexpansive mappings of set-valued to converge to coupled fixed point is proved.
在严格凸Banach空间中,用集值映象点值化方法,证明了集值渐近准非扩张映象带误差的三步迭代列收敛于耦合不动点的充要条件。
2.
In strictly convex Banach space,there F(T)is set of coupled fixed points of T for nonexpansive mapping,then F(T)is(closed convex set.
在严格凸Banach空间中,研究可点值化集值非扩张映象T的耦合不动点集F(T)的闭凸性。
3.
We prove the main result as follows:Let K be a nonempty closed convex subset of a strictly convex Banach space E,T:K→K be a continuous quasi-nonexpanaive mapping,and let T(K) be contained in a compact subset of K,iterative scheme ｛x_n｝~~∞__(n=1)definited as follow:(IS)y_n=(1-β_n)x_n+β_nTx_n,n≥1, x_(n+1)=(1-α_n)x_n+α_nTy_n,n≥1,where｛α_n｝and ｛β_n｝satisfy certain condition,then｛x_n｝c.
研究了严格凸Banach空间中非空间凸子集上拟非扩展映象的不动点的迭代逼近问题,主要证明了:设E是严格凸Banach空间,K为E的闭凸子集,T:K→K为连续拟非扩展映象。
3) strict convex Banach spaces
严格凸Banach空间
1.
Existence and uniqueness for element of best approximation in strict convex Banach spaces;
严格凸Banach空间中最佳逼近元的存在与唯一性
2.
In the strict convex Banach spaces, we obtained the theory of existence and uniqueness of element of best approximate on compact convex subset.
获得了严格凸Banach空间中 ,关于弱紧凸集最佳逼近元的存在与唯一性定
4) Banach space of analytic function
解析函数Banach空间
1.
)Based on the definitions of nonwandering operator in Banach space and the nonwandering operator semi-groups of the PDE in special Banach space,the definition of nonwandering operator sequences is given out and the existence on infinite dimensional separable Banach space of analytic function is verified by the methods of eigenvectors.
根据Banach空间上非游荡算子以及Ba-nach空间上的PDE的非游荡算子半群的定义,给出Banach空间上非游荡算子序列的定义,运用特征向量的方法证明在无穷可分解析函数Banach空间上非游荡算子序列的存在性。
5) Monotonicity of Banach lattice norm
Banach格范数的单调性
6) Banach space
Banach空间
1.
Generalized regular points of a C~1 map between Banach spaces;
Banach空间之间C~1映射的广义正则点(英文)
2.
On the convexity and smoothness of Banach space and its application;
Banach空间的凸性和光滑性及其应用
3.
Limited sets in Banach spaces;
Banach空间中的极限集
补充资料：Banach格
Banach格
Bamdi bttioe
旧.皿dl格[B山.山h‘仪;Eaoaxo.a pe川eTKa] 同时是E匕.dl空间(压脸chs脚Ce)的向量格(从戈torla币ce)，其范数满足单调性条件: }x}《!少}“!}x}}《}}少}}. Banach格也称为入召线性系(尺2弓一Iineal)，任意的赋范格，即具有单调范数的向量格，称为入N线性系(犬N一ljl丫al).在对一个赋范格按范数完全化时，序关系可以被延拓到所得到的助m由空间使其成为B时.ch格.如果有可能对一个格引人玫m朗b拓扑使其成为E以皿由格，那么这种拓扑是唯一的.最简单的压m朗b格的例子是在一个任意的紧拓扑空间Q上的连续函数空间C(Q)，其中有自然的(点态)序和通常的(一致)范数·另外的压m朗h格的例子包括L，空间和01，橄空间(011硫s脚沈).在E以脸比格中，依范数收敛是对于具有单元基准的收敛性的(*)收敛.这对于赋范格是不成立的. 、 一个重要的特殊情形是有界元的B出坦eh格.如果一个格X包含浮单俘吞(s trong耐)l，即如果对于每个x任X，存在这样的又，使得}xl(又1，那么使这个不等式成立的最小酗、可取作‘{芜‘，;左样得到的赋范格称为有界元素的赋范格行lornl。
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参考词条