Averaging properties and spreading models

被引：0
|
作者：
Cho, K [1 ]
Lee, C
机构：
[1] Myong Ji Univ, Ctr Liberal Arts & Instruct Dev, Yongin 449728, South Korea
[2] Inha Univ, Dept Math Educ, Inchon 402751, South Korea
来源：
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2005年 / 42卷 / 05期
关键词：
Banach-Saks property; weak Banach-Saks property; spreading model; Schlumprecht space;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study averaging properties in Banach spaces using the Brunel-Sucheston's spreading model. We show that the Schlumprecht space S does not have the Banach-Saks property and l(1) is finitely representable in the Schlumprecht space S using the spreading model properties.
引用
收藏
页码：1017 / 1030
页数：14
相关论文
共 50 条
  • [1] Averaging sampling: models and properties
    Blachuta, Marian J.
    Grygiel, Rafal T.
    2008 AMERICAN CONTROL CONFERENCE, VOLS 1-12, 2008, : 3554 - 3559
  • [2] SPREADING PROPERTIES IN EPIDEMIC MODELS WITH PERIODIC COEFFICIENTS
    Lin, Guo
    Pan, Shuxia
    Zhang, Na
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2025,
  • [3] Spreading Properties for SIR Models on Homogeneous Trees
    Besse, Christophe
    Faye, Gregory
    BULLETIN OF MATHEMATICAL BIOLOGY, 2021, 83 (11)
  • [4] BANACH-SAKS PROPERTIES AND SPREADING MODELS
    BEAUZAMY, B
    MATHEMATICA SCANDINAVICA, 1979, 44 (02) : 357 - 384
  • [5] Spreading Properties for SIR Models on Homogeneous Trees
    Christophe Besse
    Grégory Faye
    Bulletin of Mathematical Biology, 2021, 83
  • [6] SOME PROPERTIES OF SPREADING MODELS IN BANACH-SPACES
    GUERRE, S
    LAPRESTE, JT
    ANNALES DE L INSTITUT HENRI POINCARE SECTION B-CALCUL DES PROBABILITES ET STATISTIQUE, 1980, 16 (04): : 339 - 347
  • [7] Averaging and climate models
    Kifer, Y
    STOCHASTIC CLIMATE MODELS, 2001, 49 : 171 - 188
  • [8] Bagged averaging of regression models
    Kotsiantis, S. B.
    Kanellopoulos, D.
    Zaharakis, I. D.
    ARTIFICIAL INTELLIGENCE APPLICATIONS AND INNOVATIONS, 2006, 204 : 53 - +
  • [9] Averaging classification tree models
    Shannon, WD
    DIMENSION REDUCTION, COMPUTATIONAL COMPLEXITY AND INFORMATION, 1998, 30 : 77 - 83
  • [10] ITERATION OF SPREADING MODELS
    BEAUZAMY, B
    MAUREY, B
    ARKIV FOR MATEMATIK, 1979, 17 (02): : 193 - 198
12345