Kottman's constant, packing constant and Riesz angle in some classes of Kothe sequence spaces

被引:0
|
作者
Zlatanov, Boyan [1 ]
机构
[1] Plovdiv Univ Paisii Hilendarski, Fac Math & Informat, Tsar Assen 24, Plovdiv 4000, Bulgaria
关键词
othe sequence spaces; Musielak-Orlicz sequence space; weighted Orlicz sequence space; Luxemburg norm; Amemiya norm; Kottman's constant; Riesz angle; Packing constant; GEOMETRIC-PROPERTIES; MUSIELAK-ORLICZ; ROTUNDITY;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We have found a sufficient condition in order that the Kottman constant to be equal to the Riesz angle for Kothe sequence spaces. We have found the ball packing constant in weighted Orlicz sequence spaces, endowed with Luxemburg or p-Amemiya norm. We have calculated the Riesz angle for Musielak-Orlicz, Nakano, weighted Orlicz, Orlicz, Orlicz-Lorentz, Lorentz and Cesaro sequence spaces.
引用
收藏
页码:103 / 124
页数:22
相关论文
共 50 条
  • [1] Asymptotic Uniform Moduli and Kottman Constant of Orlicz Sequence Spaces
    Delpech, Sylvain
    REVISTA MATEMATICA COMPLUTENSE, 2009, 22 (02): : 455 - 467
  • [2] Packing constant for Cesaro sequence spaces
    Cui, YN
    Hudzik, H
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 47 (04) : 2695 - 2702
  • [3] ESTIMATES FOR KOTTMAN'S SEPARATION CONSTANT IN REFLEXIVE BANACH SPACES
    Maluta, Elisabetta
    Papini, Pier Luigi
    COLLOQUIUM MATHEMATICUM, 2009, 117 (01) : 105 - 119
  • [4] NEW RESULTS ON KOTTMAN'S CONSTANT
    Castillo, Jesus M. F.
    Gonzalez, Manuel
    Papini, Pier Luigi
    BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2017, 11 (02): : 348 - 362
  • [5] Packing constant for CesA ro-Orlicz sequence spaces
    Ma, Zhen-Hua
    Jiang, Li-Ning
    Xin, Qiao-Ling
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2016, 66 (01) : 13 - 25
  • [6] Packing constant for Cesàro-Orlicz sequence spaces
    Zhen-Hua Ma
    Li-Ning Jiang
    Qiao-Ling Xin
    Czechoslovak Mathematical Journal, 2016, 66 : 13 - 25
  • [8] PACKING OF SPHERES IN SPACES OF CONSTANT CURVATURE
    BOROCZKY, K
    ACTA MATHEMATICA ACADEMIAE SCIENTIARUM HUNGARICAE, 1978, 32 (3-4): : 243 - 261
  • [9] On some classes of non-Archimedean Kothe spaces
    Sliwa, Wieslaw
    Ziemkowska, Agnieszka
    ADVANCES IN ULTRAMETRIC ANALYSIS, 2018, 704 : 273 - 284
  • [10] Packing Constant in Orlicz Sequence Spaces Equipped with the p-Amemiya Norm
    He, Xin
    Yu, Jijie
    Cui, Yunan
    Huo, Xin
    ABSTRACT AND APPLIED ANALYSIS, 2014,