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Bp^n的迷向常数及其渐近性质 被引量：1

Isotropic Constant of B_p^n and Its Asymptotic Properties
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摘要 设Bpn={x∈Rn|‖x‖p≤1}是n维赋范空间lnp中的单位球.该文证明当1≤p≤∞时,Bnp是迷向的凸体,并给出了Bnp的迷向常数公式,进一步得到当n→∞和p→∞时其迷向常数的渐近性质. Let Bp^n={x∈R″｜ ｜｜x｜｜p≤1} n be a unit ball of n-dimension normed space lp^n. It is shown that Bp^n is isotropic convex body if 1 ≤p ≤ ∞ , and the isotropic constant formula of Bp^n is given. Moreover, n asymptotic properties of isotropic constant of Bp^n is obtained as n→∞ and p→∞.
作者 薛莲 陈巧云 何斌吾
机构地区 上海大学理学院
出处 《上海大学学报（自然科学版）》 CAS CSCD 北大核心 2008年第3期260-264,共5页 Journal of Shanghai University:Natural Science Edition
基金 国家自然科学基金资助项目(10671119)
关键词 单位球 赋范空间 迷向常数 渐近性质 unit ball normed space isotropic constant asymptotic properties
分类号 O186.5 [理学—基础数学]
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参考文献14

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二级参考文献28

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共引文献11

同被引文献11

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  • 10黄智悦,何斌吾.在n维赋范空间中单位球体积及其渐进性质(英文)[J].Journal of Shanghai University(English Edition),2008,12(2):107-109. 被引量：3

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上海大学学报（自然科学版）
2008年 第3期

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