Pub Date : 1993-09-20DOI: 10.1360/YA1993-36-9-1025
H. Jin-chuan
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.
{"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}
Pub Date : 1993-09-20DOI: 10.1360/YA1993-36-9-1095
H. Bo-yu, Zhao Liu
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.
{"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}
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.
{"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}
{"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}
Pub Date : 1993-08-20DOI: 10.1360/YA1993-36-8-1006
Jiang Quanzhong, Song Yongyuan, Sun Daliang, Lu Xinliang, Chen Huan-chu
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.
本文系统地报道了掺杂Cu的KNSBN的晶体生长和光折变性能，以及Cu离子对KNSBN光折变性能影响的机理。在KNSBN中掺杂的Cu离子可以在带隙中形成两个能级，从而在光折变过程中发挥重要作用。它们增加了有效电子结合中心浓度，从而改变了KNSBN的光折变特性。KNSBN: Cu的两波耦合增益系数是KNSBN的2倍。据估计，cudop KNSBN的光折变灵敏度约为10 -3 cm 2 /J。在响应时间小于8 s的情况下，其cat-SPPC反射率可达65%。
{"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}
{"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}
{"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}
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.
{"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}
{"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}
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