A note on the Banach lattice c0(P2n ), its dual and its bidual

被引：1
|
作者：
Lourenco, M. L. [1 ]
Miranda, V. C. C. [1 ]
机构：
[1] Univ Sao Paulo, Sao Paulo, Brazil
来源：
CARPATHIAN MATHEMATICAL PUBLICATIONS | 2023年 / 15卷 / 01期
关键词：
Banach lattice; Dunford-Pettis property; Gelfand-Phillips property; weak Dunford-Pettis property; weak Grothendieck property; positive Grothendieck property; strong Gelfand-Phillips property; SETS; PROPERTY; SPACES;
D O I：
10.15330/cmp.15.1.270-277
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The main purpose of this paper is to study some geometric and topological properties of c0-sum of the finite dimensional Banach lattice P2n, its dual and its bidual. Among other results, we show that the Banach lattice c0(P2n) has the strong Gelfand-Philips property, but does not have the positive Grothendieck property. We also prove that the closed unit ball of l & INFIN;(P2n) is an almost limited set.
引用
收藏
页码：270 / 277
页数：8
相关论文
共 50 条
  • [21] D-NORM AND ITS ISOMETRIES ON c0 SPACES
    Eshkaftaki, Ali Bayati
    OPERATORS AND MATRICES, 2017, 11 (04): : 1141 - 1148
  • [22] Asymptotically isometric copies of lp (1≤p<∞) and c0 in banach spaces
    Chen, DY
    ACTA MATHEMATICA SCIENTIA, 2006, 26 (02) : 281 - 290
  • [23] BANACH-SPACE WITH A SYMMETRIC BASIS WHICH CONTAINS NO LP OR C0 AND ALL ITS SYMMETRIC BASIC SEQUENCES ARE EQUIVALENT
    ALTSHULER, Z
    COMPOSITIO MATHEMATICA, 1977, 35 (02) : 189 - 195
  • [24] On the domain of q-Euler matrix in c and c0 with its point spectra
    Yaying, Taja
    Hazarika, Bipan
    Mei, Liquan
    FILOMAT, 2023, 37 (02) : 643 - 660
  • [25] Banach-lattice isomorphisms of C0(K;X) spaces which determine the locally compact spaces K
    Galego, Eloi Medina
    Rincon-Villamiza, Michael A.
    FUNDAMENTA MATHEMATICAE, 2017, 239 (02) : 185 - 200
  • [26] A new conservative matrix derived by Catalan numbers and its matrix domain in the spaces c and c0
    Ilkhan, Merve
    LINEAR & MULTILINEAR ALGEBRA, 2020, 68 (02): : 417 - 434
  • [27] Radiative transition for χc0 → J/ψγ from Nf=2 twisted mass lattice QCD
    Li, Ning
    Liu, Chao-Chen
    Wu, Ya-Jie
    EPL, 2021, 133 (01)
  • [28] Charmonium χ c0 and χ c2 resonances in coupled-channel scattering from lattice QCD
    Wilson, David J.
    Thomas, Christopher E.
    Dudek, Jozef J.
    Edwards, Robert G.
    PHYSICAL REVIEW D, 2024, 109 (11)
  • [29] On the Edge-Balance Index Sets of the Net Graph Cn2 x P2n (n 0(mod 2))
    Zheng, Yuge
    Chang, Yanming
    ADVANCED MANUFACTURING TECHNOLOGY, PTS 1-3, 2011, 314-316 : 2556 - 2559
  • [30] Possibility of charmoniumlike state X(3915) as χc0(2P) state
    Duan, Ming-Xiao
    Luo, Si-Qiang
    Liu, Xiang
    Matsuki, Takayuki
    PHYSICAL REVIEW D, 2020, 101 (05)
12345