Rotundity and uniform rotundity of Orlicz-Lorentz sequence spaces equipped with the Orlicz norm

被引:6
|
作者
Wang, Jincai [1 ]
Ning, Zhe [1 ]
机构
[1] Soochow Univ, Sch Math Sci, Suzhou 215006, Peoples R China
关键词
Orlicz-Lorentz sequence spaces; Orlicz norm; rotundity; uniform rotundity; CALDERON-LOZANOVSKII SPACES; GEOMETRIC-PROPERTIES; EXTREME-POINTS;
D O I
10.1002/mana.200910171
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we shall give a criteria of the rotundity and uniform rotundity of Orlicz-Lorentz sequence spaces equipped with the Orlicz norm. (C) 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
引用
收藏
页码:2297 / 2311
页数:15
相关论文
共 50 条
  • [1] ROTUNDITY AND UNIFORM ROTUNDITY OF ORLICZ-LORENTZ SPACES WITH THE ORLICZ NORM
    Wang, Jincai
    Chen, Yi
    [J]. HOUSTON JOURNAL OF MATHEMATICS, 2012, 38 (01): : 131 - 151
  • [2] k-rotundity of Orlicz-Lorentz sequence spaces
    Wang, Zichen
    Gong, Wanzhong
    [J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2023,
  • [3] On the points of local uniform rotundity and weak local uniform rotundity in Musielak-Orlicz sequence spaces equipped with the Orlicz norm
    Zuo, Mingxia
    Cui, Yunan
    Hudzik, Henryk
    Zhang, Kaijun
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (10) : 4906 - 4915
  • [4] ORLICZ-LORENTZ SEQUENCE SPACES EQUIPPED WITH THE ORLICZ NORM
    Cui, Yunan
    Foralewski, Pawel
    Konczak, Joanna
    [J]. ACTA MATHEMATICA SCIENTIA, 2022, 42 (02) : 623 - 652
  • [5] Orlicz-Lorentz Sequence Spaces Equipped with the Orlicz Norm
    Yunan Cui
    Paweł Foralewski
    Joanna Kończak
    [J]. Acta Mathematica Scientia, 2022, 42 : 623 - 652
  • [6] Local rotundity structure of generalized Orlicz-Lorentz sequence spaces
    Foralewski, Pawel
    Hudzik, Henryk
    Szymaszkiewicz, Lucjan
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (09) : 2709 - 2718
  • [7] MONOTONICITY IN ORLICZ-LORENTZ SEQUENCE SPACES EQUIPPED WITH THE ORLICZ NORM
    巩万中
    张道祥
    [J]. Acta Mathematica Scientia, 2016, (06) : 1577 - 1589
  • [8] MONOTONICITY IN ORLICZ-LORENTZ SEQUENCE SPACES EQUIPPED WITH THE ORLICZ NORM
    Gong, Wanzhong
    Zhang, Daoxiang
    [J]. ACTA MATHEMATICA SCIENTIA, 2016, 36 (06) : 1577 - 1589
  • [9] Local uniform rotundity and weak local uniform rotundity of Musielak-Orlicz sequence spaces endowed with the Orlicz norm
    Bo, Liu Xin
    Cui, Yun An
    Foralewski, Pawel
    Hudzik, Henryk
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (5-6) : 1559 - 1569
  • [10] Orlicz-Lorentz function spaces equipped with the Orlicz norm
    Foralewski, Pawel
    Konczak, Joanna
    [J]. REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2023, 117 (03)