Isomorphic lp-subspaces in orlicz-lorentz sequence spaces

被引:10
|
作者
Kaminska, A [1 ]
Raynaud, Y
机构
[1] Univ Memphis, Dept Math Sci, Memphis, TN 38152 USA
[2] Univ Paris 06, F-75252 Paris 05, France
[3] CNRS, Inst Math Jussieu, F-75252 Paris 05, France
关键词
D O I
10.1090/S0002-9939-06-08266-9
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Given a decreasing weight w and an Orlicz function phi satisfying the Delta(2)-condition at zero, we show that the Orlicz-Lorentz sequence space d(w, phi) contains an (1+ epsilon)- isomorphic copy of l(p), 1 <= p < infinity, if and only if the Orlicz sequence space l(phi) does, that is, if p is an element of [alpha(phi), beta(phi)], where alpha(phi) and beta(phi) are the Matuszewska-Orlicz lower and upper indices of., respectively. If. does not satisfy the Delta(2)-condition, then a similar result holds true for order continuous subspaces d(0)(w(0)) and h(phi) of d(w, phi) and l(phi), respectively.
引用
收藏
页码:2317 / 2327
页数:11
相关论文
共 50 条
  • [1] WEIGHTED SEQUENCE SUBSPACES OF ORLICZ FUNCTION-SPACES ISOMORPHIC TO LP
    HERNANDEZ, FL
    PEIRATS, V
    [J]. ARCHIV DER MATHEMATIK, 1988, 50 (03) : 270 - 280
  • [2] ORLICZ-LORENTZ SEQUENCE SPACES EQUIPPED WITH THE ORLICZ NORM
    Cui, Yunan
    Foralewski, Pawel
    Konczak, Joanna
    [J]. ACTA MATHEMATICA SCIENTIA, 2022, 42 (02) : 623 - 652
  • [3] Orlicz-Lorentz Sequence Spaces Equipped with the Orlicz Norm
    Yunan Cui
    Paweł Foralewski
    Joanna Kończak
    [J]. Acta Mathematica Scientia, 2022, 42 : 623 - 652
  • [4] PACKING CONSTANTS IN ORLICZ-LORENTZ SEQUENCE SPACES
    Yan, Yaqiang
    [J]. TAIWANESE JOURNAL OF MATHEMATICS, 2011, 15 (06): : 2403 - 2428
  • [5] 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
  • [6] MONOTONICITY IN ORLICZ-LORENTZ SEQUENCE SPACES EQUIPPED WITH THE ORLICZ NORM
    Gong, Wanzhong
    Zhang, Daoxiang
    [J]. ACTA MATHEMATICA SCIENTIA, 2016, 36 (06) : 1577 - 1589
  • [7] Copies of lp and co in general quasi-normed Orlicz-Lorentz sequence spaces
    Kaminska, Anna
    Raynaud, Yves
    [J]. Function Spaces, 2007, 435 : 207 - 227
  • [8] k-rotundity of Orlicz-Lorentz sequence spaces
    Wang, Zichen
    Gong, Wanzhong
    [J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2023,
  • [9] Dual spaces to Orlicz-Lorentz spaces
    Kaminska, Anna
    Lesnik, Karol
    Raynaud, Yves
    [J]. STUDIA MATHEMATICA, 2014, 222 (03) : 229 - 261
  • [10] Orlicz-Garling sequence spaces of difference operator and their domination in Orlicz-Lorentz spaces
    Charu Sharma
    Syed Abdul Mohiuddine
    Kuldip Raj
    Ali H. Alkhaldi
    [J]. Journal of Inequalities and Applications, 2018