关于L~1(μ)上有界线性算子的逼近性质与局部化性质

本文指出 :Banach空间 L1( μ)到 Banach空间 X中的有界线性算子的紧性、弱紧性、可凹性与Riesz可表示性分别在逼近意义与局部化意义下相互等价 .     

一类g-第一可数空间的刻画

本文引进了弱开映射,利用它把一类ｇ－第一可数空间刻画为度量空间在不同弱开映射下的象,特别地,本文肯定回答了Ｈｏｓｈｉｎａ的一个问题。     

Hilbert-值半鞅序列的弱收敛

本文在条件UT下研究了Hilbert-值半鞅序列到连续Hilbert-值半鞅的收敛性,并在弱收敛的条件下研究了形如X^n=∫oa^n(X^n.,s)dY^ns ∫ob^n(X^n.,s)dA^ns,X^no=O,任意n≥1随机微分方程的稳定性,其中Y^n和A^n分别为Hilbert-值半鞅和分量为增过程的Hilbert-值有限变差过程。     

集值映射的伪(*)连续与弱(*)连续性

本文引入了集值映射的伪（＊）连续性与弱（＊）连续性概念的定义,研究了伪（＊）连续、（＊）连续及弱（＊）连续的等价关系,最后研究了乘积空间中的集值映射成为伪（＊）连续和弱（＊）连续的充要条件。     

关于不可约弱广义对角优势阵

本讨论了不可约弱广义对角优势阵的非奇异性及其特征值的分布,进而给出了非奇异Ｍ－阵的几个充分条件。     

Weak and Strong Convergence for Fixed Points of Asymptotically Non-expansive Mappings

A few weak and strong convergence theorems of the modified three-step iterative sequence with errors and the modified Ishikawa iterative sequence with errors for asymptotically non-expansive mappings in any non-empty closed convex subsets of uniformly convex Banach spaces are established. The results presented in this paper substantially extend the results due to Chang (2001), Osilike and hniagbosor (2000), Rhoades (1994) and Schu (1991).     

Remarks on interpretations of the Eotvos experiment and misinterpretation of E=mc^2

The Eotvos experiment on the verification of equivalence between inertial mass and gravitational mass of a body is famous for its accuracy. A question is, however, can these experimental results be applied to the case of a physical space in general relativity, where the space coordinates could be arbitrary？ It is pointed out that it can be validly applied because it has been proven that Einstein＇s equivalence principle for a physical space must have a frame of reference with the Euclidean-like structure. Will claimed further that such an overall accuracy can be translated into an accuracy of the equivalence between inertial mass and each type of energy. It is shown that, according to general relativity, such a claim is incorrect. The root of this problem is due to an inadequate understanding of special relativity that produced the famous equation E=mc^2, which must be understood in terms of energy conservation. Concurrently, it is pointed out that this error is a problem in Will＇s book, ‘Theory and Experiment in Gravitational Physics＇.     

非共价型弱作用NAH+·Pic-有机复合物的合成及结构与量子化学研究

烟酰胺(NA)与苦味酸钴[Co(Pic)2·4H2O]在乙醇水混合液中反应,制得氢键连接的有机复合物单晶,该晶体属单钭晶系,空间群为P-1,晶胞参数为a=0.7810(1)nm,b=2.5079(4)nm,c=0.8138(2)nm,β=118.41(10)°,V=1.3968(4)nm3,Z=4,Dc=1.670g/cm3,F(000)=720.运用Gaussian 98量子化学程序包,对该化合物进行从头算研究,探讨了化合物的各原子净电荷分布、稳定性、一些前沿的分子轨道能量和组成特征,并对分子识别、分子间和分子内交互作用进行了讨论.     

化合物[2,6-bis(benzo[1,2-d:4,5-d′]diimidazole-2′-yl)pyridine] 的合成、晶体结构和光物理性质

A new tridentate benzimidazole derivative, 2,6-bis (benzo[1,2-d:4,5-d′]diimidazole-2′-yl) -pyridine (Bzdiimpy),was prepared from o-phenylenediamine in five steps with improved methods according to the literature in good yield.The crystal structure was determined by X-ray diffraction analysis. It crystallized in monoclinic, space group P21/c,with a=1.1708(4) nm, b=2.4796(9) nm, c=1.215 9(4) nm,β=114.641(7)°, Z=1, R=0.035 0, wR2=0.0890. The bzdiimp molecule displayed an almost planar structure and formed a zig-zag chain through weak interactions between imidazole-N and [SnCl6]2--Cl. Its electronic absorption and emission spectra were measured and compared with the reported analogue 2,6-bis (benz[1,2-d:4,5-d′]imidazole-2′-yl)-pyridine (Bzp).     

COCI2…NH3和COCI2…H2S体系的理论研究

在MP2水平上, 用aug-cc-pVTZ基组对COCl2…NH3和COCl2…H2S体系进行几何优化和频率计算, 同时使用Counterpoise技术进行BSSE校正, 分别得到4个COCl2…NH3和2个COCl2…H2S无虚频的稳定结构 N(S)…C连接的构型(Ⅰ,Ⅱ,Ⅴ)和N(S)…Cl-C直线型连接的构型(Ⅲ,Ⅳ,Ⅵ). 第一类构型比第二类构型相互作用能更大、更稳定.在得到的6个稳定络合物中, 络合物Ⅰ是最稳定的.