自伴算子空间上满足[φ(A~2),A]+[A~2,φ(A)]=0的可加映射

运用算子论的方法,研究了自伴算子空间上满足[φ(A2),A]+[A2,φ(A)]=0的可加映射。如果可加映射φ:Bs(H)→Bs(H)满足对所有A∈Bs(H)有[φ(A2),A]+[A2,φ(A)]=0,那么存在λ∈R,可加映射f:Bs(H)→R,以及算子K∈Bs(H),使得对所有A∈Bs(H)有φ(A)=iAK-iKA+λA+f(A)I。即自伴算子空间上满足[φ(A2),A]+[A2,φ(A)]=0的可加映射是导子与可交换映射之和。     

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.     

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).     

算子代数上保持高维数值域的映射

令B （H）是复Hilbert空间H上所有有界线性算子组成的代数,k是一个正整数且满足kk（A）表示算子A∈B （H）的k-维数值域。假设φ：B （H）→B （H）是满射。文章证明了φ满足W_k（AB-ξBA）=W_k(φ（A）φ（B）-ξφ（B）φ（A）)（ξ为不等于±1的复数）对所有A,B∈B （H）成立当且仅当存在酉算子U∈B （H）以及常数η∈{-1,1}使得φ（A）=ηUAU*对所有A∈B （H）成立;φ满足W_k（BA*B）=W_k(φ（B）φ（A）*φ（B）)对任意A,B∈B （H）成立当且仅当或者存在酉算子U:H→H使得φ（A）=UAU*对所有A∈B（H）成立,或者存在共轭酉算子U:H→H使得φ（A）=UA*U*对所有A∈B（H）成立。     

Β(H)上在恒等算子处可乘映射的特征

设A是代数,φ是A到自身的线性映射,如果对任意的S,T∈A且ST=Z,都有φ(ST)=φ(S)φ(T)成立,则称φ在Z处可乘.本文主要证明以下结果:设H是复数域上的无限维Hilbert空间,φ是Β(H)到自身强算子拓扑连续的线性满射,若φ在恒等算子I处可乘,则φ是空间自同构.     

保持算子乘积广义投影的可加映射

设B(H)是复Hilbert空间H上的有界线性算子全体且dim H2,证明了B(H)上的可加满射φ保持算子乘积非零广义投影的充要条件是存在酉算子或共轭酉算子U及常数a且a6=1使得对于任意的A∈B(H)都有φ(A)=aUAU*,或存在共轭酉算子U及常数a且a6=1使得对于任意的A∈B(H)都有φ(A)=aUA*U*。     

(A,H)-相对Hopf模代数和[H,C]-Hopf模余代数

设H是数域k上的Hopf代数,A是右H-余模代数,如果存在一个右H-余模代数映射φ:H→A,则称(A,H)是一个φ-余模代数相关对.     

β(H)上的正规可导映射

目的 研究β(H)上的正规可导线性映射.方法 算子论方法.结果 若φ:β(H)→β(H)上的正规可导线性映射,则存在数A ∈C,β∈R,线性映射h:β(H)→CI,以及算子T∈β(H)且T+T~*=β1,使得对所有的A∈β(H),有φ(A)=AT-TA+λA+f(A)I.结论 β(H)上的正规可导线性映射是导子与可交换线性映射之和.     

Φ-强单调半连续映象的Browder变分不等式解的Ishikawa迭代算法

在Hilbert空间H中, 在T:H→H有界, Φ-强单调和半连续条件下,利用次微分(a)φ算子的性质,将求变分不等式〈Tu-f,y-u〉≥φ(u)-φ(y),(A)y∈X的解转化成求集值Φ-强伪压缩映象的不动点,得到Browder变分不等式〈Tu-f,y-u〉≥φ(u)-φ(y),(A)y∈H的带有误差的Ishikawa迭代算法,在适当假设下证明了该迭代算法强收敛于不等式的唯一解.本文结果改进和推广了文献中部分已知的结果.     

B(H)上的Jordan正交可导映射

目的 研究B(H)上的Jordan正交可导映射.方法 算子论方法.结果 若φ:(B(H))→(B(H))上的Jordan正交可导线性映射,则存在数μ,λ∈R和算子M,N∈(B(H)),且M+M*=μ1,N+N*=λI,使得对所有的A∈(B(H)),有φ(A)=AM+M.结论 (B(H))上的Jordan正交可导线性映射...     

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