Remarks on rich subspaces of Banach spaces

被引:18
|
作者
Kadets, V
Kalton, N
Werner, D
机构
[1] Free Univ Berlin, Dept Math, D-14195 Berlin, Germany
[2] Univ Missouri, Dept Math, Columbia, MO 65211 USA
[3] Kharkov Natl Univ, Fac Mech & Math, UA-61077 Kharkov, Ukraine
关键词
Daugavet property; rich subspace; narrow operator;
D O I
10.4064/sm159-2-3
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We investigate rich subspaces of L-1 and deduce an interpolation property of Sidon sets. We also present examples of rich separable subspaces of nonseparable Banach spaces and we study the Daugavet property of tensor products.
引用
收藏
页码:195 / 206
页数:12
相关论文
共 50 条
  • [31] FUNCTIONAL INVARIANT SUBSPACES IN BANACH-SPACES
    BEAUZAMY, B
    ACTA MATHEMATICA, 1980, 144 (1-2) : 65 - 82
  • [32] COMPLEMENTED SUBSPACES AND LAMBDA SYSTEMS IN BANACH SPACES
    DAVIS, WJ
    DEAN, DW
    SINGER, I
    ISRAEL JOURNAL OF MATHEMATICS, 1968, 6 (03) : 303 - &
  • [33] BANACH SPACES WITHOUT MINIMAL SUBSPACES - EXAMPLES
    Ferenczi, Valentin
    Rosendal, Christian
    ANNALES DE L INSTITUT FOURIER, 2012, 62 (02) : 439 - 475
  • [34] Operator ranges and quasicomplemented subspaces of Banach spaces
    Fonf, V. P.
    Lajara, S.
    Troyanski, S.
    Zanco, C.
    STUDIA MATHEMATICA, 2019, 246 (02) : 203 - 216
  • [35] On quasi-Chebyshev subspaces of Banach spaces
    Mohebi, H
    JOURNAL OF APPROXIMATION THEORY, 2000, 107 (01) : 87 - 95
  • [36] ABSOLUTELY PROXIMAL SUBSPACES OF BANACH-SPACES
    MENA, JF
    PAYA, R
    RODRIGUEZ, A
    YOST, DT
    JOURNAL OF APPROXIMATION THEORY, 1991, 65 (01) : 46 - 72
  • [37] Banach spaces with no proximinal subspaces of codimension 2
    Charles J. Read
    Israel Journal of Mathematics, 2018, 223 : 493 - 504
  • [38] Quasicomplemented Subspaces of Banach Spaces and Separable Quotients
    Jimenez-Sevilla, Mar
    Lajara, Sebastian
    RESULTS IN MATHEMATICS, 2023, 78 (06)
  • [39] Perturbations of spectra of closed subspaces in Banach spaces
    Xu, Guixin
    Shi, Yuming
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2017, 531 : 547 - 574
  • [40] CENTRAL AND ALMOST CONSTRAINED SUBSPACES BANACH SPACES
    Rao, T. S. S. R. K.
    OPERATORS AND MATRICES, 2012, 6 (02): : 371 - 383