期刊文献+

对弧长度之和相等的Minkowshi平面的一个特征

Study on characterization of sums of length of relative arcs with equivalent property in Minkowski plane
下载PDF
导出
摘要 证明了在Minkowski平面的单位圆中,若任意一组Birkhoff正交的弦,所形成的相对弧的长度之和总相等,则这个Minkowski平面是内积空间. This paper proves that Minkowski plane is an inner product space if the sums of the length of two groups of relative arcs that Biekhoff arthogonalizes with each other in the unit circle of the Minkowski plane is equivalent.
出处 《哈尔滨商业大学学报(自然科学版)》 CAS 2009年第5期624-625,共2页 Journal of Harbin University of Commerce:Natural Sciences Edition
基金 国家自然科学基金(10671048)
关键词 Birkhoff正交 Minkowski平面 内积空间 Biekhoff arthogonalizes Minkowski plane inner product space
  • 相关文献

参考文献1

二级参考文献7

  • 1BIRKHOFF G. Orthogonality in Normed Metric Spaces[J]. Duke Math.J, 1935, 1: 169-172.
  • 2ROBERTS B D. On the Geometry of Abstract Vector Spaces[J].T6hoku Mathematical Journal, 1934, 39: 42-59.
  • 3JAMES R C. Orthogonality in Normed Linear Spaces[J]. Duke. Math J., 1945, 12: 291-301.
  • 4JAMES R C. Orthogonality and Linear Functionals in Normed Linear Spaces[J].Trans. Amer. Soc., 1947, 61: 265-292.
  • 5XU Hong-kun, KIM Tae-Hwa. Some Hilbert Space Characterizations and Banach Space Inequalities[J]. Mathematical Inequalities and Applications, 1998, 1(1): 113-121.
  • 6ALONSO Javier. Uniquess Properties of Isosceles Orthogonality in Normed Linear Spaces[J]. Ann. Sci.Math. Quebec, 1994,18(1):25-38.
  • 7DAY M M. Some Characterizations of Inner Product Spaces[J]. Trans. Amer. Math. Soc., 1947, 62: 320-337.

共引文献9

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部