素代数上完全保k-交换性的映射

令A是实或复数域上含单位元I的素代数,k1是一个整数。文章证明了A上完全保k-交换性的满射Φ具有形式Φ=Φ(I)Ψ,其中Φ(I)∈Z(A)是可逆元,Ψ:A→A是环同构。上述结果应用于算子代数上,分别得到了因子von Neumann代数、Banach空间标准算子代数和矩阵代数上完全保k-交换性满射的具体刻画。     

一秩元集上完全保反对合性的可加映射

主要刻画了一秩元集上完全保反对合性的可加映射,证明了这样的映射是同构的常数倍或(复情形下)共轭同构的常数倍。对于映射Φ∶R→,对于每个n∈瓔,定义映射Φn为Φn((sij)n×n)=(Φ(sij))n×n.则如果Φn保反对合性,称Φ是n-保反对合性的;如果对于每个正整数n,Φ是n-保反对性的,则称Φ是完全保反对合性的。     

标准算子代数上保Jordan零积的可加映射

设A和B分别是无限维的实或复Banach空间X和Y上的标准算子代数,F(X)是X上的所有有限秩算子组成的代数。设Φ:A→B是一个保单位的可加满射。文章在对Φ的值域range(Φ)附加条件比较弱的假设下证明了映射Φ单边保Jordan零积(AB+BA=0→Φ(A)Φ(B)+Φ(B)Φ(A)=0),则要么Φ|F(X)=0,要么Φ是下面四种形式之一:代数同构,共轭代数同构,代数反同构,以及共轭代数反同构。     

因子von Neumann代数上ξ-*-Lie同构的特征

设H和K是复Hilbert空间,A和B分别是H和K上的维数大于1的因子von Neumann代数。设Φ:A→B是双射且满足条件Φ(A*B-ξB*A)=Φ(A)*Φ(B)-ξΦ(B)*Φ(A),?A、B∈A。证明了以下三个结论:(1)当ξ=0时,Φ是线性或共轭线性*-同构;(2)当ξ∈R/{0,1,-1}时,若Φ保单位元,则Φ是线性或共轭线性*-同构;(3)当ξ∈C/R,若Φ保单位元,则Φ是线性*-同构。     

(B)((H))上保正交性的可加映射

讨论了B（H）到B（H）上保反正交性、保Jordan正交性的可加映射，其中B（H）和B（H）是由Hilbert空间B和H上的有界线性算子全体组成的Banach代数．若Φ：B（H）→B（H）是双边保反正交性的可加满射，使得Φ（I）=I，并且对每个一秩幂等算子P∈B（H），有Φ（FP）包启FΦ（P），则Φ是B（H）上的＊-反同构或共轭＊-反同构．与保反正交性的假设条件相同，对于保Jordan正交性，得到Φ是下列形式之一：＊-同构，共轭＊-同构，＊-反同构，共轭＊-反同构．     

(B(H))上保交换零积的可加映射

讨论了B(H)上保交换零积的可加映射,其中B(H)是由Hilbert空间H上的有界线性算子全体组成的Banach代数。首先给出了在有限维情形下,若Φ是保交换零积的可加满射,使得Φ(I)=I,并且对每个一秩幂等算子P∈Mn都有Φ(FΦ)FΦ(P),则Φ是一个自同构或反自同构。进一步给出了无限维情形下,若Φ是保交换零积可加满射,则Φ是非零数乘一个环同构或一个环反同构。     

素环上的环同构及完全保交换性映射

令R是含单位元的素环,则R到其自身的每个完全保交换性的满射Φ都具有形式Φ=LC°π,其中C∈Z(R)是可逆元,π是R的环同构。令R是含单位元的素对合环,其对合运算记为*,则R到其自身的每个完全保斜交换性的满射Φ都具有形式Φ=LC°π,其中C∈Z(R)是可逆对称元,π是R的*-环同构。如果映射是保单位元的,则上述结果中环为素的假设可以去掉,即一般环(对合环)上的满射是环同构(对合环同构)当且仅当它是保单位的且完全双边保交换性(斜交换性)的。上述结果应用到算子代数,获得C*-代数、von Neumann代数、Banach空间标准算子代数、Krein空间不定自伴标准算子代数以及对称标准算子代数上完全保交换性或斜交换性满射的具体刻画。对于标准算子代数的情形,映射为满射的条件可以减弱为值域包含所有的一秩幂等算子。     

B(H)上保约当正交的线性映射

设H和K是复Hilbert空间,B(H)和B(K)分别是H和K上有界线性算子全体组成的Banach代数.讨论了Φ:B(H)→B(K)是保单位的线性满射,则Φ双边保约当正交当且仅当Φ是*-同构或*-反同构.     

椭圆包层型保偏光纤的设计与研制

从理论分析、结构分析和工艺制备方面介绍了椭圆包层型保偏光纤的研制,阐述了这种光纤在实际应用中的优良性能,重点介绍了Φ45椭圆包层型保偏光纤的制备。     

锚索动载荷拉脱(断)火花引爆瓦斯试验

利用专门研制的锚索冲击拉伸实验装置,在瓦斯浓度和氧气浓度满足瓦斯爆炸的条件下,对Φ15.24mm、Φ17.8mm和Φ21.6mm锚索在动载荷作用下拉脱(断)时产生火花引爆瓦斯的可能性进行了一系列实验研究。结果表明:锚索在动载荷作用下主要产生拉断、拉脱、脱断3种破坏形式,且破断处均发生于锚具固定端。采用红外热成像仪对锚索在动载荷作用下破坏产生的火花温度测试表明,锚索不论以何种形式破坏,其产生火花的最高温度远低于瓦斯爆炸所需要的最低温度650～750℃。而且,火花存在时间远小于瓦斯爆炸感应期。因此,Φ15.24mm、Φ17.8mm和Φ21.6mm锚索不论以何种形式破坏所产生的火花都不能引起瓦斯爆炸。     

Markedness and its Interpretation in Language Use

Language markedness is a common phenomenon in languages, and is reflected from hearing, vision and sense, i.e. the variation in the three aspects such as phonology, morphology and semantics. This paper focuses on the interpretation of markedness in language use following the three perspectives, i.e. pragmatic interpretation, psychological interpretation and cognitive interpretation, with an aim to define the function of markedness.     

Features of Women's language

Language is a means of verbal communication. People use language to communicate with each other. In the society, no two speakers are exactly alike in the way of speaking. Some differences are due to age, gender, statue and personality. Above all, gender is one of the obvious reasons. The writer of this paper tries to describe the features of women＇s language from these perspectives： pronunciation, intonation, diction, subjects, grammar and discourse. From the discussion of the features of women＇s language, more attention should be paid to language use in social context. What＇s more, the linguistic phenomena in a speaking community can be understood more thoroughly.     

An Analysis of Catherine＇s Character——Wuthering Heights

Wuthering Heights, Emily Bronte＇s only novel, was published in December of 1847 under the pseudonym Ellis Bell. The book did not gain immediate success, but it is now thought one of the finest novels in the English language. Catherine is the key character of this masterpiece, because everybody and everything center on her though she had a short life. We can understand this masterpiece better if we know Catherine well.     

Lower Paleozoic oil relationships within Williston Basin, Canada

The Williston Basin is a significant petroleum province, containing oil production zones that include the Middle Cambrian to Lower Ordovician, Upper Ordovician, Middle Devonian, Upper Devonian and Mississippian and within the Jurassic and Cretaceous. The oils of the Williston Basin exhibit a wide range of geochemical characteristics defined as "oil families", although the geochemical signature of the Cambrian Deadwood Formation and Lower Ordovician Winnipeg reservoired oils does not match any "oil family". Despite their close stratigraphic proximity, it is evident that the oils of the Lower Palaeozoic within the Williston Basin are distinct. This suggests the presence of a new "oil family" within the Williston Basin. Diagnostic geochemical signatures occur in the gasoline range chromatograms, within saturate fraction gas chromatograms and biomarker fingerprints. However, some of the established criteria and cross-plots that are currently used to segregate oils into distinct genetic families within the basin do not always meet with success, particularly when applied to the Lower Palaeozoic oils of the Deadwood and Winnipeg Formation.     

低渗透非均质砂岩油藏启动压力梯度研究

理论推导与室内实验相结合,建立了低渗透非均质砂岩油藏启动压力梯度确定方法。首先借助油藏流场与电场相似的原理,推导了非均质砂岩油藏启动压力梯度计算公式。其次基于稳定流实验方法,建立了非均质砂岩油藏启动压力梯度测试方法。结果表明:低渗透非均质砂岩油藏的启动压力梯度确定遵循两个等效原则。平面非均质油藏的启动压力梯度等于各级渗透率段的启动压力梯度关于长度的加权平均;纵向非均质油藏的启动压力梯度等于各渗透率层的启动压力梯度关于渗透率与渗流面积乘积的加权平均。研究成果可用于有效指导低渗透非均质砂岩油藏的合理井距确定,促进该类油藏的高效开发。     

On Tragic Consciousness In The Works By Ernest Hemingway

As an American modern novelist who were famous in the literary world, Hemingway was not a person who always followed the trend but a sharp observer. At the same time, he was a tragedy maestro, he paid great attention on existence, fate and end-result. The dramatis personae's tragedy of his works was an extreme limit by all means tragedy on the meaning of fearless challenge that failed. The beauty of tragedy was not produced on the destruction of life, but now this kind of value was in the impact activity. They performed for the reader about the tragedy on challenging for the limit and the death.     

Achieving Unusual States of Matter Under High Pressure

正The periodicity of the elements and the non-reactivity of the inner-shell electrons are two related principles of chemistry,rooted in the atomic shell structure.Within compounds,Group I elements,for example,invariably assume the+1 oxidation state,and their chemical properties differ completely from those of the p-block elements.These general rules govern our understanding of chemical structures and reactions.Using first principles calcula-     

Exchange-Correlation and Electronic Excitation Energies from Pairing Matrix Fluctuations

We have developed an adiabatic connection to formulate the ground-state exchange-correlation energy in terms of pairing matrix linear fluctuations.This formulation of the exchange-correlation energy opens a new channel for density functional approximations based on the many-body perturbation theory.We illustrate the potential of such approaches with an approximation based on the particle-particle Random Phase Approximation(pp-RPA).This re-     

Density Functional Theory for the Response of Periodic Systems to Electric Fields Based on the Vector Potential Approach

正The electronic and nuclear(structural/vibrational)response of 1D-3D nanoscale systems to electric fields gives rise to a host of optical,mechanical,spectral,etc.properties that are of high theoretical and applied interest.Due to the computational difficulty of treating such large systems it is convenient to model them as infinite and periodic(at least,in first approximation).The fundamental theoretical/computational problem in doing so is that     

Call for Papers

<正>"The Journal of Shanghai Normal University:Mathematics"is published by Shanghai Normal University as regular issues of The Journal of Shanghai Normal University each year from 2014 in English.The editors-in-chief of the issues are professors Yuhao Cong and Maoan Han.The Journal of Shanghai Normal University was started in 1958 with