关于含渐近等距于$l^{\beta}(0<\beta<1)$子空间的赋$\beta$范空间

We get the characterizations of the family of all nonnegative, subadditive,β-absolutely homogeneous and continuous functionals defined on X, when the ;3-normed space X contains an asymptotically isometric copy of l^β. Moreover, it is proved that if a closed bounded β-convex subset K of a β-normed space contains an asymptotically isometric β-basis, then K contains a closed β-convex subset C which fails the fixed point property.     

关于巴拿赫格中的$l^\infty$渐进等距拷贝

本文证明了具有$\sigma$-序半连续但非$\sigma$-序连续范数的$\sigma$-完备巴拿赫格包含$l^\infty$的渐进等距拷贝.并且证明了具有Orlicz范数的Fenchel-Orlicz空间不一定含有$l^\infty$的渐进等距拷贝.     

Asymptotically Isometric Copy of lβ (0 ＜β ＜ 1) in Spaces of Bounded Linear Operators

Assume X is a normed space, every x* ∈ S(X*) can reach its norm at some point in B(X), and Y is a β-normed space. If there is a quotient space of Y which is asymptotically isometric to lβ, then L(X, Y) contains an asymptotically isometric copy of lβ. Some sufficient conditions are given under which L(X, Y) fails to have the fixed point property for nonexpansive mappings on closed bounded β-convex subsets of L(X, Y).     

Spaces of Ideal Convergent Sequences of Bounded Linear Operators

Abstract

The notation of I–convergence was introduced and studied by Kostyrko, Macaj, Salat, and Wilczynski. Recently, the concept of I–convergent for a sequence of bounded linear operators has been studied by Khan and Shafiq. This has motivated us to introduce and study some new spaces of double sequences of bounded linear operators and their basic topological and algebraic properties of these spaces. And we study some of their basic topological and algebraic properties of these spaces. We prove some inclusion relations on these spaces.     

赋$\beta$-范空间中的最佳逼近问题

本文讨论赋$\beta$-范空间中的最佳逼近问题.以[1]引进的共轭锥为工具,借助[2]中关于$\beta$-次半范的Hahn-Banach延拓定理,第二节给出赋$\beta$-范空间的闭子空间中最佳逼近元的特征,第三节得到赋$\beta$-范空间中任何凸子集或子空间均为半Chebyshev集的充要条件是空间本身严格凸,文章最后证明了严格凸的赋$\beta$-范空间中任何有限维子空间都是Chebyshev集.     

齐型空间上$L^1$ 与{\rm BMO}的内插空间

本文讨论齐型空间上$L^1$ 与{\rm BMO}的内插空间, 得到下列结果:对于本文讨论齐型空间上$L^1$ 与{\rm BMO}的内插空间, 得到下列结果:对于本文讨论齐型空间上$L^1$ 与{\rm BMO}的内插空间, 得到下列结果:对于摘要：本文讨论齐型空间上L^1与BMO的内插空间，得到下列结果：对于0〈θ〈1，1≤q≤∞，有（L^1，BMO）θ，q=Lpq，其中θ=1-1/p。     

两个$l^p(\Gamma)$型空间单位球面之间的1-Lipschitz映射的延拓($1

方习年 《数学研究及应用》2009,29(4):687-692

赋范空间中渐进一致Ф-伪压缩型映象不动点的迭代逼近

在赋范空间中,研究了渐进一致Ф-伪压缩型映象的带有误差项的修正的Ishikawa迭代程序的收敛性问题.本文结果改进、发展和统一了许多作者的一系列相关结果.     

权重$l_2$空间上关联线性时不变算子的性质

本文讨论了选取不同类型权重序列$\{w(t)\}_{t\in \mathbb{Z}}$时,权重$l_2(\mathbb{Z},w)$空间上关联线性时不变算子的性质,同时还讨论了非稳定关联线性时不变卷积算子的可闭性的有关问题,提出了关于线性时不变算子一些新的问题,并指出可在一大类权重$l_2(\mathbb{Z},w)$空间上进行鲁棒设计.     

赋范线性空间中渐近拟伪压缩型映象不动点的修改的广义Ishikawa迭代逼近

本文在去掉lim inf n→∞||xn||＜∞,∞∑n=0(kn-1)＜∞条件下,并用αn→o(n→∞)取代∑α2n＜∞,使用新的分析技巧,在赋范线性空间中建立了一致Lipschitz的渐近拟伪压缩型映象公共不动点的修改的广义Ishikawa迭代序列的强收敛定理,从而本质改进和推广了唐玉超,刘理蔚新近的结果.