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对称的Minkowski平面上非方常数的等价表示 被引量:5

An Equivalent Representation of Nonsquare Constants of Symmetric Minkowski Planes
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摘要 给出了对称的Minkowski平面上非方常数的一个等价表示,证明了对称的Minkowski平面的点态非方常数在某点处一致地取得2^(1/2). Equivalent representation of nonsquare constants of symmetric Minkowski planes is obtained, and a conclusion that pointwise nonsquare constants of symmetric Minkowski planes achieve sqrt 2 uniformly at some point is obtained.
出处 《哈尔滨理工大学学报》 CAS 2007年第2期81-82,86,共3页 Journal of Harbin University of Science and Technology
关键词 Minkowski平面 对称的Minkowski平面 非方常数 点态非方常数 Minkowski plane symmetric Minkowski plane nonsquare constants pointwise nonsquare constants
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共引文献2

同被引文献45

  • 1吴森林,计东海.正交性和内积空间的一些特征[J].哈尔滨理工大学学报,2004,9(6):113-115. 被引量:10
  • 2姚君,李丽,计东海.Banach空间点态凸性模[J].哈尔滨理工大学学报,2005,10(5):78-79. 被引量:2
  • 3吴森林,计东海.关于非方常数问题的一个反例[J].应用泛函分析学报,2006,8(2):149-154. 被引量:5
  • 4姜杨,裴东河.三维Minkowski空间中非类光曲线的从切可展曲面的奇点分类[J].东北师大学报(自然科学版),2007,39(1):22-27. 被引量:7
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  • 8BARONTI M, CASINI E, PAPINI P L. Triangles Inscribed in a Semicircle in Minkowski Planes and in Normed Spaces [ J ]. J. Math. Anal. Appl. , 2000, 252: 124- 146.
  • 9Jl Donghai, WANG Tingfu. Nonsquare Constants of Normed Spaces [J]. Acta. Sci. Math. (Szeged), 1994, 59:421-428.
  • 10JI GAO LAU KA-SING. On the Two Classes of Banach Spaces with Uniform Normal Structure [J]. Studia Math. , 1991,99:41 -56.

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