上海大学学报(自然科学版) ›› 2007, Vol. 13 ›› Issue (1): 41-46 .
• 数理化科学 • 上一篇 下一篇
吴力荣;何斌吾
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WU Li rong;HE Bin wu
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摘要： 设 K 是〖WTHZ〗R n 中体积为1，质心在原点的凸体， L K 是它的迷向 常数，寻找 L K 的上确界，是Banach空间局部理论（现代几何分析）中著名的未解决问 题.目前最好的上界估计是 L K 关键词: Bourgain问题, 迷向常数, 迷向体, 凸体 Abstract: Let K∈ 〖WTHZ〗R n be a convex body with volume | K |=1 and c enter o f mass at the origin. L K is an isotropic constant of K . Finding the le ast upper bound of L K is a well known open problem of Banach space local theory. Now the best estimate of upper bound is L K Key words: Bourgain's problem, isotropic body, isotropic constant, convex body 引用本文 吴力荣;何斌吾. 几类特殊几何体的迷向常数[J]. 上海大学学报(自然科学版), 2007, 13(1): 41-46 . WU Li rong;HE Bin wu . Isotropic Constant of Some Special Geometric Bodies[J]. Journal of Shanghai University（Natural Science Edition）, 2007, 13(1): 41-46 . 使用本文 / / 推荐 导出引用管理器 EndNote|Reference Manager|ProCite|BibTeX|RefWorks 链接本文: https://www.journal.shu.edu.cn/CN/ https://www.journal.shu.edu.cn/CN/Y2007/V13/I1/41
关键词: Bourgain问题, 迷向常数, 迷向体, 凸体
Abstract: Let K∈ 〖WTHZ〗R n be a convex body with volume | K |=1 and c enter o f mass at the origin. L K is an isotropic constant of K . Finding the le ast upper bound of L K is a well known open problem of Banach space local theory. Now the best estimate of upper bound is L K Key words: Bourgain's problem, isotropic body, isotropic constant, convex body
Key words: Bourgain's problem, isotropic body, isotropic constant, convex body
吴力荣;何斌吾. 几类特殊几何体的迷向常数[J]. 上海大学学报(自然科学版), 2007, 13(1): 41-46 .
WU Li rong;HE Bin wu . Isotropic Constant of Some Special Geometric Bodies[J]. Journal of Shanghai University（Natural Science Edition）, 2007, 13(1): 41-46 .
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