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Linear Interpolation and the Elementary Operators on () ()上的线性插值和初等算子
Science in China Series A-Mathematics, Physics, Astronomy & Technological Science Pub Date : 1993-09-20 DOI: 10.1360/YA1993-36-9-1025
H. Jin-chuan
{"title":"Linear Interpolation and the Elementary Operators on ()","authors":"H. Jin-chuan","doi":"10.1360/YA1993-36-9-1025","DOIUrl":"https://doi.org/10.1360/YA1993-36-9-1025","url":null,"abstract":"Let be a Banach space.In this paper the sufficient and necessary condi- tions for an elementary operator on () to be of finite rank or of rank one are obtained; a characterization of an abstract linear mapping on () to be a finite-rank elementary operator is given;and it is also shown that a linear interpolation of finitely many elemen- tary operators △ 1 ,…,△ k is still an elementary operator though it may not be a linear combi- nation of △ i 's.","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"53 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122727846","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
Hamiltonian Reduction of WZNW Model Associated With Chiral Constraints 具有手性约束的WZNW模型的哈密顿约简
Science in China Series A-Mathematics, Physics, Astronomy & Technological Science Pub Date : 1993-09-20 DOI: 10.1360/YA1993-36-9-1095
H. Bo-yu, Zhao Liu
{"title":"Hamiltonian Reduction of WZNW Model Associated With Chiral Constraints","authors":"H. Bo-yu, Zhao Liu","doi":"10.1360/YA1993-36-9-1095","DOIUrl":"https://doi.org/10.1360/YA1993-36-9-1095","url":null,"abstract":"The constant constraints in the conventional Hamiltonian reductions of WZNW model are generalized to the case of arbitrary chiral constraints.It is shown that the reduced model is equivalent to a conformal integrable system at both classical and quantum levels.It is also found that the use of chiral constraints is equivalent to the Hamihonian reduction of the product phase space of WZNW model and free fields.","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"143 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121986195","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Electromagnetic Missiles Generated by Linear and Surface Current Distributions 线性和表面电流分布产生的电磁导弹
Science in China Series A-Mathematics, Physics, Astronomy & Technological Science Pub Date : 1993-08-20 DOI: 10.1360/YA1993-36-8-998
W. Geyi, Ruan Cheng-li, Lin Weigan
{"title":"Electromagnetic Missiles Generated by Linear and Surface Current Distributions","authors":"W. Geyi, Ruan Cheng-li, Lin Weigan","doi":"10.1360/YA1993-36-8-998","DOIUrl":"https://doi.org/10.1360/YA1993-36-8-998","url":null,"abstract":"Electromagnetic(EM) missile sources have so far been limited to the cases where the spatial distribution of current density is either a straight line or a circular disk or a rectangle. It may then be questioned whether an arbitrary linear current distribution or an arbitrary surface current distribution can be used as a launcher of the EM missiles. In this paper the above question is answered, and we have demonstrated that an arbitrary linear or an arbitrary surface current distribution of finite size has the ability to launch an EM missile, i. e. to realize slow decrease of electromagnetic energy on any axis so long as the axis has an intersection point with the source region, and in the neighborhood of this point the spatial distributions of the current are locally flat and perpendicular to the axis.","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130035228","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
有挠引力的广义拉氏量与(ε mn ,ξ μ )变换不变性以及若干推论 有挠引力的广义拉氏量与(ε mn ,ξ μ )变换不变性以及若干推论
Science in China Series A-Mathematics, Physics, Astronomy & Technological Science Pub Date : 1993-08-20 DOI: 10.1360/ZA1993-23-8-847
陈方培
{"title":"有挠引力的广义拉氏量与(ε mn ,ξ μ )变换不变性以及若干推论","authors":"陈方培","doi":"10.1360/ZA1993-23-8-847","DOIUrl":"https://doi.org/10.1360/ZA1993-23-8-847","url":null,"abstract":"本文给出了物质场和引力场的广义拉氏量,假定它们各具有(e mn ,ξ μ )变换不变性,从而得到引力场与物质场之间各种可能的耦合方式及自由引力场拉氏函数一些可能的具体形式;引入了几个描述物质场及引力场的物理量,导得了若干关系并进行了讨论,获得了一些有意义的结论。","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"37 12","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114035031","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
C n 中球型带权Bergman空间上Toeplitz与Hankel算子之紧性 C n 中球型带权Bergman空间上Toeplitz与Hankel算子之紧性
Science in China Series A-Mathematics, Physics, Astronomy & Technological Science Pub Date : 1993-08-20 DOI: 10.1360/ZA1993-23-8-811
肖杰
{"title":"C n 中球型带权Bergman空间上Toeplitz与Hankel算子之紧性","authors":"肖杰","doi":"10.1360/ZA1993-23-8-811","DOIUrl":"https://doi.org/10.1360/ZA1993-23-8-811","url":null,"abstract":"","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133928146","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Photorefractive Material KNSBN:Cu 光折变材料KNSBN:Cu
Science in China Series A-Mathematics, Physics, Astronomy & Technological Science Pub Date : 1993-08-20 DOI: 10.1360/YA1993-36-8-1006
Jiang Quanzhong, Song Yongyuan, Sun Daliang, Lu Xinliang, Chen Huan-chu
{"title":"Photorefractive Material KNSBN:Cu","authors":"Jiang Quanzhong, Song Yongyuan, Sun Daliang, Lu Xinliang, Chen Huan-chu","doi":"10.1360/YA1993-36-8-1006","DOIUrl":"https://doi.org/10.1360/YA1993-36-8-1006","url":null,"abstract":"This paper reports systematically the crystal growth and photorefractive properties of Cu-doped KNSBN, and the mechanism of the Cu ions' effects on the photorefractive properties of KNSBN. The Cu ions doped in KNSBN can form two energy levels in the band gap, thus play important roles in the photorefractive process. They increase the effective electron combination center concentration, which results in the modification of the photorefractive properties of KNSBN. The two-wave coupling gain coefficient of KNSBN: Cu is two times greater than that of KNSBN. The photorefractive sensitivity of Cudoped KNSBN is estimated to be in the order of 10 -3 cm 2 /J. Its cat-SPPC reflectivity can reach 65％ corresponding to an response time less than 8 s.","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122603535","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
正交异性板颈缩变形理论—I.失稳变形开始判据 正交异性板颈缩变形理论—I.失稳变形开始判据
Science in China Series A-Mathematics, Physics, Astronomy & Technological Science Pub Date : 1993-08-20 DOI: 10.1360/ZA1993-23-8-889
周维贤
{"title":"正交异性板颈缩变形理论—I.失稳变形开始判据","authors":"周维贤","doi":"10.1360/ZA1993-23-8-889","DOIUrl":"https://doi.org/10.1360/ZA1993-23-8-889","url":null,"abstract":"","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"49 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115923588","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
关于可构成实数在L ω1 中分布的几个定理 关于可构成实数在L ω1 中分布的几个定理
Science in China Series A-Mathematics, Physics, Astronomy & Technological Science Pub Date : 1993-08-20 DOI: 10.1360/ZA1993-23-8-794
王驹
{"title":"关于可构成实数在L ω1 中分布的几个定理","authors":"王驹","doi":"10.1360/ZA1993-23-8-794","DOIUrl":"https://doi.org/10.1360/ZA1993-23-8-794","url":null,"abstract":"","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"62 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124481319","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Reality and Differential Calculus on the q -Euclidean Space q -欧几里得空间上的实与微分
Science in China Series A-Mathematics, Physics, Astronomy & Technological Science Pub Date : 1993-08-20 DOI: 10.1360/YA1993-36-8-985
Liao Li, Song Xing-chang
{"title":"Reality and Differential Calculus on the q -Euclidean Space","authors":"Liao Li, Song Xing-chang","doi":"10.1360/YA1993-36-8-985","DOIUrl":"https://doi.org/10.1360/YA1993-36-8-985","url":null,"abstract":"By introducing the left and right derivatives, we establish a real structure for the covariant differential calculus on the N -dimensional quantum Euclidean space. The method is also applicable to the quantum Minkowski space.","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"73 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123627476","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
强化采油数值模拟的特征差分方法和 I 2 估计 强化采油数值模拟的特征差分方法和 I 2 估计
Science in China Series A-Mathematics, Physics, Astronomy & Technological Science Pub Date : 1993-08-20 DOI: 10.1360/ZA1993-23-8-801
袁益让
{"title":"强化采油数值模拟的特征差分方法和 I 2 估计","authors":"袁益让","doi":"10.1360/ZA1993-23-8-801","DOIUrl":"https://doi.org/10.1360/ZA1993-23-8-801","url":null,"abstract":"对于二维、多组分、多相、不可压缩混合流体组成的注化学溶液(如表面活性剂、醇、聚合物)强化采油数值模拟的特征差分方法及其收敛性分析,其数学模型是一组非线性偶合偏微分方程组的初、边值问题。在考虑相互干扰有界区域的一般情况下,本文提出一类特征差分格式,利用粗细网格配套、变分形式、先验估计理论和技巧,得到了最佳阶的l~2误差估计结果。彻底解决了Douglas所提出的著名问题。","PeriodicalId":256661,"journal":{"name":"Science in China Series A-Mathematics, Physics, Astronomy & Technological Science","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121653566","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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