TUHF代数上的Jordan映射

设T是TUHF代数，B是有理数域Q上的代数，r是一个有理数，φ是从T到B上的双射，并且任给a，b∈T，都有φ（r（ab＋ba））=r（φ（a）φ（b）＋φ（b）φ（a））.本文研究了φ的可加性.证明了当T有不变投影或为标准TUHF时，φ是可加的.     

保谱*可乘映射

设N 为Hilbert空间H上的纯原子Nest。首先引进algN上的保谱 可乘映射的定义 ,称映射φ :algNB(H)为保谱 可乘映射 ,若 φ满足 :1°对 A ,B ,C∈algN ,若AB C ∈algN有 φ(AB C)=φ(A) φ(B) φ(C) ;2°δ(φ(T) ) =δ(T)。在此基础上 ,利用秩一算子的性质和Nest代数的特点 ,得到映射 φ的表达式为 :φ(T) =ATA- 1φ(I) , T∈algN ,从而推广了荆武的结论     

因子von Neumann代数上的非线性中心化子

设m，n是任意非零整数，且满足(m＋n)(m－n)≠0， M是实或复数域F上的Hilbert空间上的一个因子von Neumann代数.利用代数分解方法证明了M上满足2mφ(AB)＋2nφ(BA)＝mφ(A)B＋mAφ(B)＋nφ(B)A＋nBφ(A)的非线性映射φ为可加中心化子，并刻画出具体形式φ：A→λA(λ∈F， A∈M).     

Banach代数上的n-同态

设A 和B是两个(复)线性代数, φ为A到B内的线性映射, n≥2为自然数, 如果对任意的a1,a2,…,an∈A,有φ(a1a2… an)=φ(a1)…φ(an), 则称φ为A到B内的n-同态;此外,如果φ是双射,则称φ为n-同构.本文主要研究了含单位元的(*-)Banach代数上的n-同态的自动连续性, 并对 C*-代数上的* n-同构进行刻划.     

因子Von Neumann代数上的可乘导子

设M是作用在Hilbert空间H上的因子Von Neumann代数,若φ:M→M满足φ(AB)=φ(A)B+Aφ(B)((A)A,B∈M),则φ(A+B)=φ(A)+φ(B).     

三角代数上的Jordan三元映射

设T是三角代数,B是有理数域Q上的代数,r是一个有理数,本文的主要目标是研究从T到B上的Jordan三元映射的可加性。利用三角代数的矩阵结构,证明了如果ф是从T到B上的双射,满足任给a,b,c∈A都有ф（r（abc＋cba））=r（ф（a）ф（b）ф（c）＋ф（c）ф（b）ф（a））,则是可加的。     

稳定等价于扩张代数的自入射代数

设A是一个代数闭域上的有限维遗传代数，R^mA(m≥1）是A的扩张代数，主要证明：如果一个自入射代数B稳定等价于扩张代数RA^m，则存在一个倾斜代数C使得B同构于扩张代数RC^m.     

标准算子代数上的导子

主要刻画了标准算子代数上满足恒等式φ(A4)=φ(A)A3+Aφ(A)A2+A2φ(A)A+A3φ(A)的线性映射φ具有形式AT-TA(T∈B(H)),并且把这一结果进行推广.     

左Yetter-Drinfeld模范畴中的双Frobenius代数

考虑左Yetter—Drinfeld模范畴中的双Frobenius代数(A，φ，t，Ψ)．证明了左Yetter—Dfinfeld模范畴中的双Frobenius代数(A，φ，t，Ψ)的对偶(A，t，φ，Ψ*)也是左Yetter—Drinfeld模范畴中的双Frobenius代数．给出了右积分φ∈∫A^r,t∈∫A^r,模函数α和模元g的模和余模结构，也给出了Yetter—Drinfeld模范畴中的双Frobenius代数的Radford的对极Ψ^4公式．     

三角代数上Lie积为平方零元的非线性双可导映射

设U是一个三角代数,Ω是U上平方零元的集合,φ:U×U →U是U上的一个映射(在每个变量上都没可加假设).若对任意的x,y,z∈ U且[x,y],[y,z]∈ Ω分别有φ(xy,z)= φ(x,z)y+xφ(y,z)和φ(x,yz)= φ(x,y)z+yφ(x,z),则φ是U上的一个双导子.     

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.     

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     

On the Thermodynamic Limit for Responses to Static Electromagnetic Fields

For molecular systems,the quantum-mechanical treatment of their responses to static electromagnetic fields usually employs a scalar-potential treatment of the electric field and a vector-potential treatment of the magnetic field.Although the potential for each field separately is associated with the choice of an(unphysical)origin,the precise choice of the origin for the electrostatic field has little consequences for the results.This is different for the     

An affordable accurate evaluation of the binding conformations predicted by molecular docking studies in bio-system

Franck-Condon factors bridge the gap between theoretical modeling and experimental observations for molecular electronic spectroscopy and electron transfer.Under the displaced harmonic oscillator approximation,multidimensional Franck-Condon factors are decomposed into a product of many one-dimensional(1D)Franck-Condon(FC)factors,and each 1D-FC factor is associated with one Huang-Rhys factor that determines the leading contribution of     

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