弱A—proper映象及其广义拓扑度

本文利用可分Ｂａｎａｃｈ空间中的Ｍ基，引进了一种弱逼近程序，以此定义了弱Ａ－ｐｒｏｐｅｒ映象，并利用Ｂｒｏｕｗｅｒ度，对此类映象定义了广义拓扑度，讨论了这种度的若干重要性质。     

Characterization of type<Emphasis Type="Italic">p</Emphasis> Banach spaces by the weak law of large numbers

For weighted sums of the form where {a _nj , 1 ⩽j⩽k _n ↑∞,n⩾1} is a real constant array and {X _aj , 1≤j≤k _{n, n}≥1} is a rowwise independent, zero mean, random element array in a real separable Banach space of typep, we establishL ^r convergence theorem and a general weak law of large numbers respectively, conversely, we characterize Banach spaces of typep in terms of convergence inr-th mean and probability for such weighted sums. Foundation item: Supported by the National Natural Science Foundation of China (No. 10071058) Biography: Gan Shi-xin (1939-), male, Professor, research direction: martingale theory, probability limiting theory and Banach space geometry theory.     

Project Systems Engineering for Developing Space Robots

Space robots possess unique distinguishing features unlike general robots on earth, due to the particular environments in space. The developing of various practical space robots promoting the improvement of space science and technology is a complex man-machine-environment engineering problem. This paper analyses from the systems engineering viewpoint the space robot system in the scope of the architecture of robotics discipline, space environment characteristics, man-machine-environment system of space robots, the general methodology of project systems engineering and the process of space robot systems engineering.     

Fisher-Ng Pen Nung定理的推广

本文证明了涉及四个度量空间的不动点定理,它是Fisher和Ng PengNung的主要定理的推广。     

(sum from i=1to∞ ⊕X_i)_p的一些性质

在本文中,我们给出如下结论:为弱一致凸的当且仅当诸都是弱一致凸的;为一致Gateaux可微的当且仅当每个X_i(i=1,2,…)都是一致Gateaux可微的。     

Banach空间类上序结构的一些性质

本文利用Banach空间类上的序结构讨论了一些经典的Banach空间之间的序关系,并研究了序结构的若干性质。     

Banach空间的若干几何常数

计算了Banach空间的若干几何常数,得到了Garda-Falset常数R(c0,α)=2-1/1+α.作为推论,得到空间c0,α有弱不动点性质,同时也计算了常数C(cα)=1,并且得到空间cα有一致弱Banach-Saks性质.