关于Banach空间自反性判定的个注记

作为Ｂａｎａｃｈ空间自反性判定定理的一个补充，给出了Ｘ是自反Ｂａｎａｃｈ空间的几个充要条件．     

关于平均一致凸Banach空间

给出平均一致凸Ｂａｎａｃｈ空间的定义，证明了一致凸Ｂａｎａｃｈ空间是平均一致凸Ｂａｎａｃｈ空间，平均一致凸Ｂａｎａｃｈ空间是自反和弱局部一致凸Ｂａｎａｃｈ空间，并且平均一致凸Ｂａｎａｃｈ空间Ｘ中任意元在Ｘ的闭凸子集存在唯一的最佳逼近元。     

关于Banach空间自反性判定的一个注记

作为Ｂａｎａｃｈ空间自反性判定定理的一个补充，给出了Ｘ是自反Ｂａｎａｃｈ空间的几个充要条件．     

Banach空间中集值上鞅的Ries‘z分解

将文献中在有限维Ｂａｎａｃｈ空间给出的集值上鞅存在Ｒｉｅｓ‘ｚ分解的充要条件推广到无限维Ｂａｎａｃｈ空间，同时在条件相当弱的情形下，得到了一个近似于Ｒｉｅｓ’ｚ分解形式的结论。     

关于平均一致凸Banach空间

引入平均一致凸Ｂａｎａｃｈ空间的概念，证明了一致凸Ｂａｎａｃｈ空间是平均一致凸Ｂａｎａｃｈ空间，平均一致凸Ｂａｎａｃｈ空间是自反和弱局部一致凸Ｂａｎａｃｈ，并且平均一致凸Ｂａｎａｃｈ空间Ｘ中的任意元在Ｘ的闭凸子集中必存在唯一的最佳逼近元。     

Banach空间中集值上鞅的Ries＇z分解

将文献中在有限维Ｂａｎａｃｈ空间给出的集值上鞅存在Ｒｉｅｓ＇ｚ分解的充要条件推广到无限维Ｂａｎａｃｈ空间，同时在条件相当弱的情形下，得到了一个近似于Ｒｉｅｓ＇ｚ分解形式的结论．     

半范数的泛函表示及应用

给出了局部凸空间上连续半范数，有界半范数和下半连续半范数等的泛函表示，应用这些表示定理，我们得到了Ｂａｎａｃｈ－Ｍａｃｋｅｙ空间的一个全局特征和囿空间的对偶特征，最后还给出了局部凸空间理论中一些重要定理的简化证明。设Ｘ是Ｈａｕｓｄｏｒｆｆ局部凸空间，Ｘ′为Ｘ上的连续线性泛函全体，Ｘ￣ｂ是Ｘ上的有界线性泛函全体，则有定理１（３）ｐ：Ｘ→Ｒ是连续（下半连续）半范数当且仅当存在Ｘ′的等度连续（σ（Ｘ′，Ｘ）有界）子集Ｂ使得对任何ｘ∈Ｘ都有定理４Ｘ是Ｂａｎａｃｈ－Ｍａｃｋｅｙ空间当且仅当Ｘ上每个下半连续半范数都是有界的。定理５Ｘ是囿空间当且仅当Ｘ￣ｂ中的β（Ｘ￣ｂ，Ｘ）有界集都是Ｘ′中的等度连续集。     

Tapia 半内积与 Banach 空间的几何性质

利用Ｔａｐｉａ半内积（ｘ,ｙ）Ｔ＝ｌｉｍｔ→０＋［（ｘ＋ｔｙ２－ｘ２）／（２ｔ）］,ｘ,ｙ∈Ｘ,研究了Ｂａｎａｃｈ空间Ｘ的自反和逼近性质,并在光滑的Ｂａｎａｃｈ空间Ｘ上利用由Ｔａｐｉａ半内积定义的一类连续线性泛函Ｔ（Ｘ）＝｛ｆｘ∈Ｘ＊｜〈ｆｘ,ｙ〉＝（ｘ,ｙ）Ｔ;ｘ,ｙ∈Ｘ｝研究了Ｂａｎａｃｈ空间的严格凸、一致凸以及具有性质（Ｈ）的特征．     

Banach空间中线性系统范数约束可达性

研究无穷维控制系统，范数约束可达性，其中ｘ∈Ｘ，１≤ｐ≤∞，Ｘ，Ｕ是自反Ｂａｎａｃｈ空间．文中提出一致范数约束可达性概念，得到充分必要条件．     

定向集上的B值P一致渐进鞅

本文讨论了定向集上Ｂ值Ｐ一致渐近鞅的Ｒｉｅｓｚ分解定理,并讨论了它与Ｌ＾ｐ极限鞅的关系,由此刻划了Ｂａｎａｃｈ空间的ＲＮＰ性质。     

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.     

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     

Journal of Donghua University ( English Edition) Contents of Volume 31

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