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1.
设H为实可分的Hilbert空间,N为H上的完备Nest,algN为B(H)上的Nest代数,若ψ是algN到B(N)上的线性映射且对任意T∈B(H),有ψ(T)(kerT^*)包含于ranT,则称ψ为Nest代数algN上的右*-核值保持映射,证明了若对于任意N∈N,dimN≠1,,是algN上关于弱算子拓扑连续的右*-核值保持映射ψ为广义右*-内导子,即存在A,B∈B(H),对任意的T∈algN,有ψ(T)=TA+BT^*。  相似文献   

2.
设N为纯原子nest,满足0 ≠0,H-=H,ψ:algN→algN为保数值域乘法满射,本证明了,对任意T∈algN,有ψ(T)=ATA^-1,其中A为有界可逆算子。  相似文献   

3.
设H为实可分Hilbert空间,若Ψ为B(H)上的线性映射且对任意的T∈B(H),有Ψ(T)(ketT*)真包含于ranT,则称ΨB(H)上的右*-核值保持映射,证明了B(H)上的关系弱算子拓扑连续的右*-核值保持映射是广义右*-内导子,即存在A,B∈B(H),对任意T∈B(H)有:Ψ(T)=TA BT^*。  相似文献   

4.
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Wk(AB-ξBA)=Wk(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Wk(BA*B)=Wk(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。  相似文献   

5.
M是一个无限维复Hilbert空间H上的vN代数,ψ为M上一个线性映射,Z∈M,称ψ在Z处可导,如果ψ满足ψ(ST)=ψ(S)T+Sψ(T)对任意S,T∈M并且ST=Z成立。现令Z∈M是一个可逆元,本文证明了若M上范数连续的映射ψ在Z处可导,则ψ在M的单位元I处可导,从而可得ψ是M的一个内导子。  相似文献   

6.
设H是复数C上的Hilbert空间,AB(H)是标准算子代数.利用算子论方法,证明了对所有的A∈A,若δ满足δ(AA*A)=δ(A)A*A+Aδ(A)*A+AA*δ(A),则存在S,T∈B(H)和λ∈R,且S+S*=T+T*=λI,使得对所有的A∈A,有δ(A)=SA-AT.  相似文献   

7.
设N为Hilbert空间H上的Nest,满足H_≠H,N_≠N(任意N∈N),则Nest代数alnN上保秩乘法映射φ具有形式:φ(T)=ATA^-1,任意T∈algN,其中A为线性或共轭线性有界可逆算子。  相似文献   

8.
在这篇文章中,我们证明了:如果ψ1ψ2……ψ1∈,H∞(D),并且存在某个α∈D,使得(f-f(α))的内函数部分是一个有限的Blaschke乘积,Mψ1,Mψ2…Mψn与Mf作为Bergman空间上的乘子,则的充分必要条件是ψ1=ψ2=…=ψn=f=常数,这里n≥2。  相似文献   

9.
设B( X)是无限维复Banach空间X上有界线性算子全体组成的Banach代数。研究了B( X)上双边保持值域(或核)包含关系的可加满射。设φ是B( X)上双边保持值域(或核)包含关系的可加满射,则存在X上的可逆有界线性或者共轭线性算子U和V使得橙T∈B( X),有φ( T)=UTV。  相似文献   

10.
给出了H^2(T^2)上 Toeplitz算子的特征方程,Tz*TTz=T,Tω*TTω=T,及两个Toeplitz算子ψ,ψ∈L∞(T2),Tψ和Tψ的乘积TψTψ仍为 Toeplitz算子的充要条件是:ψ对z、ω中零个、一个或两个变量共轭解析,ψ对余下变量解析,且乘积为Tψψ。  相似文献   

11.
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.  相似文献   

12.
何延凌 《科技信息》2008,(4):258-258
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.  相似文献   

13.
王慧 《科技信息》2008,(10):240-240
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.  相似文献   

14.
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.  相似文献   

15.
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。  相似文献   

16.
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.  相似文献   

17.
Location based services is promising due to its novel working style and contents.A software platform is proposed to provide application programs of typical location based services and support new applications developing efficiently. The analysis shows that this scheme is easy implemented, low cost and adapt to all kinds of mobile nework system.  相似文献   

18.
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-  相似文献   

19.
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-  相似文献   

20.
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  相似文献   

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