On height orthogonality in normed linear spaces

被引:4
|
作者
Alonso, J [1 ]
Soriano, ML [1 ]
机构
[1] Univ Extremadura, Dept Matemat, E-06071 Badajoz, Spain
关键词
D O I
10.1216/rmjm/1181070401
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We study geometric properties of an orthogonality relation defined in normed linear spaces and based on a classical property of right triangles.
引用
收藏
页码:1167 / 1183
页数:17
相关论文
共 50 条
  • [1] ORTHOGONALITY IN NORMED LINEAR SPACES
    JAMES, RC
    [J]. DUKE MATHEMATICAL JOURNAL, 1945, 12 (02) : 291 - 302
  • [3] On Birkhoff orthogonality and isosceles orthogonality in normed linear spaces
    Javier Alonso
    Horst Martini
    Senlin Wu
    [J]. Aequationes mathematicae, 2012, 83 : 153 - 189
  • [4] Area orthogonality in normed linear spaces
    Alonso, J
    Benitez, C
    [J]. ARCHIV DER MATHEMATIK, 1997, 68 (01) : 70 - 76
  • [5] Area orthogonality in normed linear spaces
    Javier Alonso
    Carlos Benítez
    [J]. Archiv der Mathematik, 1997, 68 : 70 - 76
  • [6] On Birkhoff orthogonality and isosceles orthogonality in normed linear spaces
    Alonso, Javier
    Martini, Horst
    Wu, Senlin
    [J]. AEQUATIONES MATHEMATICAE, 2012, 83 (1-2) : 153 - 189
  • [7] On the Uniqueness of Isosceles Orthogonality in Normed Linear Spaces
    Ji, Donghai
    Li, Jingying
    Wu, Senlin
    [J]. RESULTS IN MATHEMATICS, 2011, 59 (1-2) : 157 - 162
  • [8] On the Uniqueness of Isosceles Orthogonality in Normed Linear Spaces
    Donghai Ji
    Jingying Li
    Senlin Wu
    [J]. Results in Mathematics, 2011, 59 : 157 - 162
  • [9] ORTHOGONALITY IN NORMED SPACES
    PARTINGTON, JR
    [J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1986, 33 (03) : 449 - 455
  • [10] On strong orthogonality and strictly convex normed linear spaces
    Kallol Paul
    Debmalya Sain
    Kanhaiya Jha
    [J]. Journal of Inequalities and Applications, 2013