Convexity and smoothness in real interpolation for families of Banach spaces

被引:1
|
作者
Nikolova, LY
Zachariades, T
机构
[1] Univ Sofia, Dept Math, BU-1126 Sofia, Bulgaria
[2] Univ Athens, Dept Math, GR-15784 Athens, Greece
关键词
D O I
10.1216/rmjm/1181071622
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We show how the uniform convexity and uniform nonsquare properties of an interpolation operator can be preserved by the induced operator between the real interpolation spaces for infinite families. Also we show how uniform smoothness is inherited by real interpolation spaces for infinite families.
引用
收藏
页码:1085 / 1101
页数:17
相关论文
共 50 条
  • [1] REAL INTERPOLATION FOR FAMILIES OF BANACH-SPACES AND CONVEXITY
    KUTZAROVA, DN
    NIKOLOVA, LY
    ZACHARIADES, T
    MATHEMATISCHE NACHRICHTEN, 1995, 171 : 259 - 268
  • [2] MODUII OF CONVEXITY AND SMOOTHNESS OF BANACH SPACES
    GURARII, VI
    DOKLADY AKADEMII NAUK SSSR, 1965, 161 (05): : 1003 - &
  • [3] REAL INTERPOLATION FOR FAMILIES OF BANACH-SPACES
    CARRO, MJ
    STUDIA MATHEMATICA, 1994, 109 (01) : 1 - 21
  • [4] Weak near convexity and smoothness of Banach spaces
    Cabrera, IJ
    Sadarangani, KB
    ARCHIV DER MATHEMATIK, 2002, 78 (02) : 126 - 134
  • [5] Weak near convexity and smoothness of Banach spaces
    I. J. Cabrera
    K. B. Sadarangani
    Archiv der Mathematik, 2002, 78 : 126 - 134
  • [6] Real interpolation for families of Banach spaces and the compactness property
    Carro, MJ
    Nikolova, L
    FUNCTION SPACES, PROCEEDINGS, 2000, 213 : 93 - 107
  • [7] CONVEXITY AND SMOOTHNESS OF BANACH SPACES WITH NUMERICAL INDEX ONE
    Kadets, Vladimir
    Martin, Miguel
    Meri, Javier
    Paya, Rafael
    ILLINOIS JOURNAL OF MATHEMATICS, 2009, 53 (01) : 163 - 182
  • [8] Some compactness results in real interpolation for families of Banach spaces
    Carro, MJ
    Peetre, J
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1998, 58 : 451 - 466
  • [9] Some real interpolation methods for families of Banach spaces: A comparison
    Carro, MJ
    Nikolova, LI
    Peetre, J
    Persson, LE
    JOURNAL OF APPROXIMATION THEORY, 1997, 89 (01) : 26 - 57
  • [10] Near Convexity, Near Smoothness and Approximative Compactness of Half Spaces in Banach Spaces
    Zhang, Zi Hou
    Zhou, Yu
    Liu, Chun Yan
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2016, 32 (05) : 599 - 606