Subprojective Banach spaces

被引：17
|
作者：
Oikhberg, T. [1 ]
Spinu, E. [2 ]
机构：
[1] Univ Illinois, Dept Math, Urbana, IL 61801 USA
[2] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 424卷 / 01期
关键词：
Banach space; Complemented subspace; Tensor product; Space of operators; OPERATORS; SUBSPACES; LATTICES;
D O I：
10.1016/j.jmaa.2014.11.008
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A Banach space X is called subprojective if any of its infinite dimensional subspaces contains a further infinite dimensional subspace complemented in X. This paper is devoted to systematic study of subprojectivity. We examine the stability of subprojectivity of Banach spaces under various operations, such as direct or twisted sums, tensor products, and forming spaces of operators. Along the way, we obtain new classes of subprojective spaces. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：613 / 635
页数：23
相关论文
共 50 条
  • [31] Bimeasures in Banach spaces
    Nicolae Dinculeanu
    Muthu Muthiah
    Annali di Matematica Pura ed Applicata, 2000, 178 (1) : 339 - 392
  • [32] On automorphic Banach spaces
    Yolanda Moreno
    Anatolij Plichko
    Israel Journal of Mathematics, 2009, 169
  • [33] OPEN PROBLEMS IN BANACH SPACES AND MEASURE THEORY
    Rodriguez, Jose
    QUAESTIONES MATHEMATICAE, 2017, 40 (06) : 811 - 832
  • [34] POSITIVELY NORMING SETS IN BANACH FUNCTION SPACES
    Sanchez Perez, E. A.
    Tradacete, P.
    QUARTERLY JOURNAL OF MATHEMATICS, 2014, 65 (03) : 1049 - 1068
  • [35] ON THE p-SCHUR PROPERTY OF BANACH SPACES
    Dehghani, Mohammad B.
    Moshtaghioun, S. Mohammad
    ANNALS OF FUNCTIONAL ANALYSIS, 2018, 9 (01): : 123 - 136
  • [36] On the complete separation of asymptotic structures in Banach spaces
    Argyros, Spiros A.
    Motakis, Pavlos
    ADVANCES IN MATHEMATICS, 2020, 362
  • [37] An Embedding Theorem for Pseudoconvex Domains in Banach Spaces
    Aaron Zerhusen
    Mathematische Annalen, 2006, 336 : 269 - 280
  • [38] On complemented subspaces of sums and products of Banach spaces
    Ostrovskii, MI
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1996, 124 (07) : 2005 - 2012
  • [39] An estimate of the Banach-Mazur distances between Hilbert spaces and Banach spaces
    Sánchez Pérez E.A.
    Del Campo Cañizares S.
    Rendiconti del Circolo Matematico di Palermo, 1997, 46 (3) : 465 - 476
  • [40] A description of Banach space-valued Orlicz hearts
    Labuschagne, Coenraad C. A.
    Offwood, Theresa M.
    CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2010, 8 (06): : 1109 - 1119
12345