Kadec-Klee properties of Caldern-LozanovskiA sequence spaces

被引：6
|
作者：
Kolwicz, Pawe [1 ]
机构：
[1] Poznan Univ Tech, Inst Math, PL-60965 Poznan, Poland
来源：
COLLECTANEA MATHEMATICA | 2012年 / 63卷 / 01期
关键词：
Kothe spaces; Calderon-Lozanovskii spaces; Kadec-Klee properties; ORLICZ-LORENTZ SPACES; KOTHE-BOCHNER SPACES; GEOMETRIC-PROPERTIES; ROTUNDITY PROPERTIES; SYMMETRICAL SPACES;
D O I：
10.1007/s13348-010-0015-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study two Kadec-Klee properties with respect to coordinatewise convergence and with respect to uniform convergence. We shall give full criteria for these properties in Caldern-LozanovskiA sequence spaces. In particular, we obtain the characterizations of Kadec-Klee properties in Orlicz-Lorentz spaces, which have not been known in such generality until now.
引用
收藏
页码：45 / 58
页数：14
相关论文
共 50 条
  • [1] Kadec-Klee properties of Calderón-Lozanovskiĭ sequence spaces
    Paweł Kolwicz
    Collectanea Mathematica, 2012, 63 : 45 - 58
  • [2] Complete characterizations of Kadec-Klee properties in Orlicz spaces
    Dominguez, T
    Hudzik, H
    López, G
    Mastylo, M
    Sims, B
    HOUSTON JOURNAL OF MATHEMATICS, 2003, 29 (04): : 1027 - 1044
  • [3] KADEC-KLEE NORMS ON BANACH-SPACES
    VANDULST, D
    SINGER, I
    STUDIA MATHEMATICA, 1976, 54 (03) : 205 - 211
  • [4] Kadec-Klee properties of Orlicz-Lorentz sequence spaces equipped with the Orlicz norm
    Cui, Yunan
    Foralewski, Pawel
    Hudzik, Henryk
    Kaczmarek, Radoslaw
    POSITIVITY, 2021, 25 (04) : 1273 - 1294
  • [5] Kadec-Klee Properties of Calderon-Lozanovskii Function Spaces
    Kolwicz, Pawel
    JOURNAL OF FUNCTION SPACES AND APPLICATIONS, 2012,
  • [6] KADEC-KLEE AND RELATED PROPERTIES OF DIRECT SUMS OF BANACH SPACES
    Dowling, Patrick N.
    Photi, Supaluk
    Saejung, Satit
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2007, 8 (03) : 463 - 469
  • [7] Characterizations of Kadec-Klee properties in symmetric spaces of measurable functions
    Chilin, VI
    Dodds, PG
    Sedaev, AA
    Sukochev, FA
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1996, 348 (12) : 4895 - 4918
  • [8] Uniform Kadec-Klee property in interpolation spaces
    Aleksandrowicz, Karol
    Prus, Stanislaw
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 509 (02)
  • [9] Lifting of Kadec-Klee properties to symmetric spaces of measurable operators
    Dodds, PG
    Dodds, TK
    Sukochev, FA
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1997, 125 (05) : 1457 - 1467
  • [10] Local approach to Kadec-Klee properties in symmetric function spaces
    Ciesielski, Maciej
    Kolwicz, Pawel
    Pluciennik, Ryszard
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 426 (02) : 700 - 726
12345