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矢值序列空间ss(E_k)的一些几何性质 被引量:6
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作者 任丽伟 冯国臣 李秋丽 《北方交通大学学报》 CSCD 北大核心 2002年第3期84-87,98,共5页
矢值序列空间ss(Ek)是Banach序列空间Ip(Ek)的重要推广 .本文研究ss(Ek)的Schur性质、弱紧性以及 (S)性质 .
关键词 矢值序列空间 schur性质 弱紧性 (s)性质
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Banach空间的渐近赋范性质与(S)性质
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作者 南朝勋 《数学杂志》 CSCD 北大核心 1994年第4期468-474,共7页
本文证明渐近赋范性质与(S)性质具有对偶件,并且给出一个Banach空间为Hahn-Banach光滑的充要条件。
关键词 巴拿赫空间 渐近赋范性质 (s)性质
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Banach空间的(S)性质
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作者 张秀芳 董玉波 刘庆江 《齐齐哈尔大学学报(自然科学版)》 1998年第1期55-56,共2页
本文引入了弱(S)性质,弱*(S)性质,得到了它们与Banach空间各种光滑性之间的关系。
关键词 (s)性质 光滑性 BANACH空间
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Banach序列空间l_p(X_i)的几何性质
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作者 冯国臣 杜娟 《北京交通大学学报》 CAS CSCD 北大核心 2007年第6期54-57,共4页
利用lp空间的性质及lp和lp(Xi)的关系,讨论了lp(Xi)的强凸性(、M)性质和(S)性质,给出了它们的充要条件.
关键词 BANACH序列空间 强凸性 (M)性质 (s)性质
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局部谱和S-强可分解算子
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作者 王漱石 《湖州师范学院学报》 1988年第6期25-34,共10页
本文证明了一个关于局部谱的定理,解除了S.Frunza所加的一个附加条件.接着给出了一个闭算子为S-强可分解的一些充要条件,推广了I.Erolyi和王声望的结果.
关键词 局部谱 谱极大子空间 性质(s.a) s-强可分解
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CL-KR与K-WM性质
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作者 何宗祥 何苏阳 《安徽师大学报》 1995年第1期24-27,共4页
本文首先引入了Banach空间X的K-WM性质,它是B.B.Panda和O.P.Kapoor在[1]中引入的WM性质的推广。然后证明了:若X是CL-KR的,则S有(S)性质;若X有K-WM性质,X有(S)性质,则X是... 本文首先引入了Banach空间X的K-WM性质,它是B.B.Panda和O.P.Kapoor在[1]中引入的WM性质的推广。然后证明了:若X是CL-KR的,则S有(S)性质;若X有K-WM性质,X有(S)性质,则X是CL-KR的;若X是CL-KR的,M是X的自反子空间,则X/M是CL-KR的;若X有K-WM性质,M是x的自反子空间,则X/M有K-WM性质。此外,本文还指出:(S)性质和CL-KR不具有对偶性质。 展开更多
关键词 CL-KR (s)性质 K-WM性质 巴拿赫空间
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Conjunctival Langerhans Cell Histiocytosis: a Case Report
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作者 Di Chen Han-yi Min 《Chinese Medical Sciences Journal》 CAS CSCD 2015年第1期63-64,共2页
LANGERHANS cell histiocytosis(LCH)is a rare disease,mainly involving the bone,skin,lung,liver,spleen,and skin.1 The heterogenenous nature of LCH makes it difficult to diagnose.Not only do the involved organs vary from... LANGERHANS cell histiocytosis(LCH)is a rare disease,mainly involving the bone,skin,lung,liver,spleen,and skin.1 The heterogenenous nature of LCH makes it difficult to diagnose.Not only do the involved organs vary from case to case,but also its natural history.Herein,we describe a rare case of conjuctival LCH in an Asian woman. 展开更多
关键词 Langerhans cell histiocytosis CONJUNCTIVA IMMUNOHIsTOCHEMIsTRY
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Expanded Relative Operator Entropies and Operator Valued α-Divergence
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作者 Hiroshi Isa Masatoshi Ito +2 位作者 Eizaburo Kamei Hiroaki Tohyama MasayukiWatanabe 《Journal of Mathematics and System Science》 2015年第6期215-224,共10页
For strictly positive operators A and B, and for x ∈ [0,1] and r ∈[-1,1], we investigate the operator power mean A#x,rB=A1/2{(1-x)/+x(a-1*2BA-1/2)r}1/rA1/2 If r = O, this is reduced to the geometric operator m... For strictly positive operators A and B, and for x ∈ [0,1] and r ∈[-1,1], we investigate the operator power mean A#x,rB=A1/2{(1-x)/+x(a-1*2BA-1/2)r}1/rA1/2 If r = O, this is reduced to the geometric operator mean A#x,rB=A1/2{(1-x)/+x(a-1*2BA-1/2)r}1/rA1/2 Since A #0,r B = A and A #l,r B = B, weregard A#t,rB as apath combining A and B.Our aim is to show the essential properties of St,r (AIB). The Tsallis relative operator entropy by Yanagi, Kuriyama and Furuichi can also be expanded, and by using this, we can give an expanded operator valued a-divergence and obtain its properties. 展开更多
关键词 Operator power mean relative operator entropy Tsallis relative operator entropy operator valued a-divergence
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The Temporal Evolution of Shear-wave Splitting and Geoelectrical Anisotropy During Yongdeng Earthquake
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作者 RuanAiguo LiQinghe 《Earthquake Research in China》 2001年第2期134-145,共12页
The temporal evolution of shear-wave splitting and geoelectrical anisotropy of earth media during the preparation and occurrence of the Yongdeng MS5.8 earthquake is studied based on the digital seismic data and contin... The temporal evolution of shear-wave splitting and geoelectrical anisotropy of earth media during the preparation and occurrence of the Yongdeng MS5.8 earthquake is studied based on the digital seismic data and continuous magnetotelluric (MT) records. The results show that the direction of polarization of the fast S-wave gradually rotated from north by east to north by west before the Yongdeng earthquake and returned to north by east after the earthquake. Moreover, the time delay between the fast S wave and slow S wave increased to the largest until the earthquake occurred. On the other hand, the directions of geoelectrical principal axes also changed before earthquake, and exhibited identical characteristics in the frequency domain. The direction of the axis (pxy), which was originally perpendicular to the fault near station, varied from N17°to N15°before earthquake, and returned to north by east after the earthquake. Correspondingly, the change of pxy was most obvious in the period range of 160 s to 226 s, but the variation of pyx was less obvious. The focal mechanism solution of the earthquake showed that the direction of P-axis was N15°. Conclusions are: (1) The fast S-wave polarization, one of the geoelectrical principal axes and the P-axis were in agreement in orientation during earthquake preparation, which is the result of the alignment of EDA cracks; (2) The fact that the geoelectrical axes identically varied with frequency demonstrated that EDA is really widespread in the crust; (3) The variation of MT apparent resistivity also showed the existence of anisotropy and has its own features: The static anisotropy of resistivity is controlled by the tectonic conditions of the station, while the dynamic anisotropy is caused and affected by the seismic stress field; The resistivity along the axis parallel to the P-axis showed the most obvious variation, while the difference in variation with frequency shows that the variation of resistivity depends not only on direction but also on buried depth. 展开更多
关键词 Yongdeng earthquake shear-wave splitting Geoelectrical anisotropy
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Properties of Linear Entropy in k-Photon Jaynes-Cummings Model with Stark Shift and Kerr-Like Medium
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作者 廖庆洪 Muhammad Ashfaq Ahmad +1 位作者 王月媛 刘树田 《Communications in Theoretical Physics》 SCIE CAS CSCD 2010年第5期931-936,共6页
The time evolution of the linear entropy of an taking into consideration Stark shift and Kerr-like medium. atom in k-photon daynes-Cummings model is investigated The effect of both the Stark shift and Kerr-like medium... The time evolution of the linear entropy of an taking into consideration Stark shift and Kerr-like medium. atom in k-photon daynes-Cummings model is investigated The effect of both the Stark shift and Kerr-like medium on the linear entropy is analyzed using a numerical technique for the field initially in coherent state and in even coherent state. The results show that the presence of the Kerr-like medium and Stark shift has an important effect on the properties of the entropy and entanglement. It is also shown that the setting of the initial state plays a significant role in the evolution of the linear entropy and entanglement. 展开更多
关键词 k-photon Jaynes Cummings model linear entropy stark shift Kerr-like medium
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The Dual Pair with the Signed-weak Gliding Hump Property
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作者 LILong-suo LIUJin-xia CHOMin-hyung 《Chinese Quarterly Journal of Mathematics》 CSCD 2003年第2期182-185,共4页
In this paper, we introduce the signed weak gliding hump property in a dual pair with the structure of a system of sections and show that if a dual pair [E, F] has the signed weak gliding hump property, then the β-du... In this paper, we introduce the signed weak gliding hump property in a dual pair with the structure of a system of sections and show that if a dual pair [E, F] has the signed weak gliding hump property, then the β-dual space of E is a weak sequentially complete space if and only if for every n ∈N,(F[n] ,σ(F[n] ,E[n] )) is sequentially complete. Furthermore, we also prove that if [E,F] has the signed weak gliding hump property, then (E,τ(E,E<β> )) is an AK- space. 展开更多
关键词 dual pair signed weak gliding hump property sequentially completeness
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Comparison of plasma NSE, protein S-100b and EEG changes in traditional arrested-heart procedures and on-pump beating-heart procedures
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作者 王咏 肖颖彬 +2 位作者 陈林 王学锋 钟前进 《Journal of Medical Colleges of PLA(China)》 CAS 2003年第2期95-98,共4页
Objective: To assess the cerebral injury in on-pump beating-heart procedures under mild hypothermia in comparison with traditional on-pump arrested-heart procedures under moderate hypothermia. Methods: Forty patients,... Objective: To assess the cerebral injury in on-pump beating-heart procedures under mild hypothermia in comparison with traditional on-pump arrested-heart procedures under moderate hypothermia. Methods: Forty patients, 20 with congenital heart disease (CHD) and 20 of rheumatic heart disease (RHD) , were divided into 2 groups: Control group (group A, n =20) including 10 patients suffering from CHD as group Al and the left 10 from RHD as group A2; and experiment group (group B, n =20) which consisting of group B1 (10 with CHD) and group B2 (10 of RHD). The patients in group A underwent traditional arrested-heart procedures, and those in group B were operated on with beating-heart procedures. Arterial blood samples were collected at preoperation (time A) , 20 min after cardiopul-monary bypass (CPB) starting (time B) , 1 h after CPB (time C) and 24 h postoperation (time D) respectively. Plasma contents of neuron-specific enolase (NSE) and protein S-100b were measured with sensitive ELISA. All the patients received echoencephalography (EEG) before and 1 week after operation. Results: The plasma contents of protein S-lOOb were increased very significantly at time B, C and D in comparison with those at time A (P<0.01) , and that of patients in group Al was significantly higher than that in group B at time B (P < 0. 05 ). There was no significant difference at other time points. At time B, the plasma contents of NSE were significantly higher in group A than in group B, and in group Al and Bl than in group A2 and B2. What's more, at time B, the former fell back to their pre-operative levels, but the latter remained still higher levels than the preoperative ones ( P < 0.01). No significant difference was found in the abnormality rates of postoperative EEG between 2 groups. Conclusion: The perioperative plasma contents of NSE and protein S-100b are not significantly higher in group B than in group A. On-pump beating-heart procedures do not make more serious cerebral dysfunction than the traditional arrested-heart procedures. 展开更多
关键词 on-pump beating-heart surgery protein s-100b neuron specific enolase cardiopulmonary bypass cerebral injury
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Hamiltonian s-properties and(Laplacian)Spreads of k-connected Graphs
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作者 CHEN Hongzhang LI Jianxi SHIU Wai Chee 《数学进展》 CSCD 北大核心 2024年第6期1181-1187,共7页
A graph G possesses Hamiltonian s-properties when G is Hamilton-connected if s=1,Hamiltonian if s=0,and traceable if s=-1.Let S_A(G)=λ_n(G)-λ_1(G)and S_L(G)=μ_n(G)-μ_2(G)be the spread and the Laplacian spread of G... A graph G possesses Hamiltonian s-properties when G is Hamilton-connected if s=1,Hamiltonian if s=0,and traceable if s=-1.Let S_A(G)=λ_n(G)-λ_1(G)and S_L(G)=μ_n(G)-μ_2(G)be the spread and the Laplacian spread of G,respectively,whereλ_n(G)andλ_1(G)are the largest and smallest eigenvalues of G,andμ_n(G)andμ_2(G)are the largest and second smallest Laplacian eigenvalues of G,respectively.In this paper,we shall present two sufficient conditions involving S_A(G)and S_L(G)for a k-connected graph to possess Hamiltonian s-properties,respectively.We also derive a sufficient condition on the Laplacian eigenratio■for a k-connected graph to possess Hamiltonian s-properties. 展开更多
关键词 (Laplacian)spread Hamiltonian s-property Laplacian eigenratio k-connected graph
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局部凸空间的几种光滑性及其等价条件 被引量:3
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作者 陈利国 罗成 《集宁师专学报》 2009年第4期1-5,共5页
设X是一个实线性空间,P是X上的一可分离的半范数族,(X,TP)表示由P生成的局部凸空间,(X,P)为一个偶对.给出偶对(X,P)为(弱)中点局部一致光滑的概念,讨论了它们与其它光滑性之间的关系,此外,还引入性质(WS)、性质(S)的概念,给出几个光滑... 设X是一个实线性空间,P是X上的一可分离的半范数族,(X,TP)表示由P生成的局部凸空间,(X,P)为一个偶对.给出偶对(X,P)为(弱)中点局部一致光滑的概念,讨论了它们与其它光滑性之间的关系,此外,还引入性质(WS)、性质(S)的概念,给出几个光滑性的等价性定理,得到了若干等价性,从而推广了Banach空间相应概念和结果。 展开更多
关键词 (弱)中点局部一致光滑性 性质(Ws) 性质(s)
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关于C^*-代数迹拓扑秩的一个推广
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作者 肖翔 张子厚 《上海工程技术大学学报》 CAS 2005年第3期211-214,共4页
给出了具有TR(S)性质C*-代数类的概念,作出了一个关于迹拓扑秩的推广,得到定理2,即A是有单位元的单的C*-代数,若A具有TR(S1)性质,则tsr(A)=1。
关键词 C^*-代数 TR(s)性质 单代数
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关于Banach空间自反性问题的讨论
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作者 罗李平 《衡阳师范学院学报》 2004年第3期1-3,共3页
阐述和总结了对Banach空间自反性问题所做的工作,并在此基础上利用对偶映射的概念与(S)性质给出了Banach空间自反的一些新的充要条件和充分条件。
关键词 BANACH空间 自反性 时偶映射 (s)性质
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局部凸空间凸性的等价性
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作者 陈利国 《内蒙古财经学院学报(综合版)》 2011年第3期143-145,共3页
设X是一个实线性空间,P是X上的一可分离的半范数族(,X,TP)表示由P生成的局部凸空间(,X,P)为一个偶对。引入偶对(X,P)具有性质(WS)*、性质(S)*的概念,并给出几个凸性的等价性定理,得到了若干等价性,推广了Ba-nach空间相应概念和结果。
关键词 偶对 凸性 性质(Ws) 性质(s)
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非二次罚函数对应的二阶乘子迭代
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作者 刘文 《云南师范大学学报(对外汉语教学与研究版)》 1998年第2期28-31,共4页
本文针对等式约束问题,构造出一非二次罚函数中(t),tR,将其应用于乘子法中,使目标函数在约束条件集内为有界,而增广Lagrange函数在Kn上无下界情况下,仍然得到类似于二次罚函数对应的二阶乘于迭代。
关键词 罚函数 二阶乘子迭代 等式约束问题 LAGRANGE函数 性质(s)
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乘积度量空间中扩张型映像的公共不动点定理
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作者 许志鹏 谷峰 《杭州师范大学学报(自然科学版)》 CAS 2017年第3期297-300,共4页
在乘积度量空间中,利用自映像对的弱交换条件、弱相容条件和CLR(S,T)性质,证明了两对扩张型自映像的两个新的公共不动点定理.
关键词 乘积度量空间 弱交换映像 弱相容映像 CLR(s T)性质 公共不动点
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B-Z-空间中的强凸性与k-强凸性
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作者 白小净 魏文展 《应用泛函分析学报》 2016年第4期360-368,共9页
本文引入了B-Z-空间中强凸性、强光滑性、k-强凸性及k-强光滑性的概念,讨论了在B-Z-空间中强凸性与强光滑性、k-强凸性与k-强光滑性之间的关系,并且利用单位圆的切片证明了当B-Z-空间X是kx强凸的,则X是自反的;同时提出了B-Z-空间的(S)性... 本文引入了B-Z-空间中强凸性、强光滑性、k-强凸性及k-强光滑性的概念,讨论了在B-Z-空间中强凸性与强光滑性、k-强凸性与k-强光滑性之间的关系,并且利用单位圆的切片证明了当B-Z-空间X是kx强凸的,则X是自反的;同时提出了B-Z-空间的(S)性质;最后得出了B-Z-空间的k-强凸性的相关性质. 展开更多
关键词 强凸性 强光滑性 κ-强凸性 κ-强光滑性 (s)性质
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