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相容局部凸拓扑下的可逼近性质
  • 项目名称：相容局部凸拓扑下的可逼近性质
  • 项目类别：面上项目
  • 批准号：10871213
  • 申请代码：A010603
  • 项目来源：国家自然科学基金
  • 研究期限：2009-01-01-2011-12-31
  • 项目负责人：黎永锦
  • 负责人职称：副教授
  • 依托单位：中山大学
  • 批准年度：2008
中文摘要：

本研究项目的结果包括两方面内容 (1) 第一方面的结果是关于Banach空间的可逼近性质的.利用相容局部凸拓扑τ,我们研究了接近τ-紧和τ-强Chebyshev集.证明了映到τ-强Chebyshev集的度量投影是范数-τ连续的.我们利用超平面给出了接近τ-紧和τ-强Chebyshev集的刻画,并利用它们刻画了几乎一致凸空间. (2) 第二方面的结果是关于投影和射影向量积不包含 l_1(或不包含c_0,或具有Radon-Nikodym 性质)的刻画. 我们还得到了Banach格之间的正规线性算子空间是自反的或具有Radon-Nikodym性质的充要条件,从而得到它们的刻画.

中文主题词： 可逼近性质;几乎一致凸;向量积;Radon-Nikodym性质.
结论摘要：

英文主题词proximinality;locally uniformly rotund; tensor product;Radon-Nikodym property.

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期刊论文
Positive weighted pseudo-almost periodic solutions to infinite delay integral equation
HYERS-ULAM STABILITY FOR SECOND-ORDER LINEAR DIFFERENTIAL EQUATIONS WITH BOUNDARY CONDITIONS
Traveling wave solutions for Schrödinger equation with distributed delay
COPIES OF ?1 INTO POSITIVE TENSOR PRODUCTS OF ORLICZ SEQUENCE SPACES
Some properties of the space of regular operators on atomic Banach lattices
Existence of subharmonic solutions and homoclinic orbits for a class of even higher order differenti
The Dynamics of Solutions to the Equation
Schauder decompositions and the Fremlin projective tensor product of Banach lattices
Hyers-Ulam stability of linear differential equations of second order
Hyers-Ulam Stability of Linear Differential Equations y′′ = λ^2y
THE GROTHENDIECK PROPERTY FOR INJECTIVE TENSOR PRODUCTS OF BANACH SPACES
Weighted sampling and reconstruction in weighted reproducing kernel spaces
Multiple solutions for boundary value problems of a discrete generalized Emden-Fowler equation
Homoclinic orbits for a singular second-order neutral differential equation
COPIES OF c0 AND l∞ INTO A REGULAR OPERATOR SPACE
Polynomials on Banach lattices and positive tensor products
The Complete Continuity Properties for the Positive Projective Tensor Product of Atomic Banach Latti
Some geometric properties inherited by the positive tensor products of atomic Banach lattices
HYERS–ULAM STABILITY OF A POLYNOMIAL EQUATION
The Hahn-Banach Theorem on Arbitrary Groups
Reflexivity and the Grothendieck property for positive tensor products of Banach lattices. II.
Hyers-Ulam Stability of Nonhomogeneous Linear Differential Equations of Second Order
Existence of pseudo almost periodic solutionsof functional differential equations with infinite dela
一类三阶中立型微分方程多重周期解的存在性
Proximinality in Banach spaces
一类非线性Duffing方程概周期解的存在性
2-赋范空间和拟Banach空间中的华罗庚不等式
平均非扩张映射的三种迭代收敛的等价性
Banach空间上的Hilbert不等式
线性微分方程y″-λ^2y=f（x）的Hyers-Ulam稳定性
非线性微分方程的Hyers-Ulam稳定性
拟2-赋范空间凸性
离散时滞KdV类方程的群不变解
一类二阶非线性差分方程边值问题的多重解
黎永锦的项目
Banach格的张量积的几何性质