Banach spaces of linear operators and homogeneous polynomials without the approximation property

被引:0
|
作者
Sergio A. Pérez
机构
[1] IMECC,
[2] UNICAMP,undefined
来源
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas | 2017年 / 111卷
关键词
Banach space; Linear operator; Compact operator; Homogeneous polynomial; Approximation property; Complemented subspace; 46B28; 46G25;
D O I
暂无
中图分类号
学科分类号
摘要
We present many examples of Banach spaces of linear operators and homogeneous polynomials without the approximation property, improving results of Dineen and Mujica (Czechoslovak Math. J. 65(140): 367–374, 2015) and Godefroy and Saphar (Proc Am Math Soc 105:70–75, 1989).
引用
收藏
页码:855 / 862
页数:7
相关论文
共 50 条
  • [31] Linear polynomial approximation schemes in Banach holomorphic function spaces
    Javad Mashreghi
    Thomas Ransford
    Analysis and Mathematical Physics, 2019, 9 : 899 - 905
  • [32] Approximation of operators in dual spaces by adjoint operators
    Reinov O.I.
    Journal of Mathematical Sciences, 2011, 173 (5) : 632 - 642
  • [33] Approximation of new bounded operators in intuitionistic fuzzy n-Banach spaces
    Konwar, Nabanita
    Davvaz, Bijan
    Debnath, Pradip
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2018, 35 (06) : 6301 - 6312
  • [34] Linear operators and conjugations on a Banach space
    Haruna Motoyoshi
    Acta Scientiarum Mathematicarum, 2019, 85 : 325 - 336
  • [35] Isometric factorization of weakly compact operators and the approximation property
    Asvald Lima
    Olav Nygaard
    Eve Oja
    Israel Journal of Mathematics, 2000, 119 : 325 - 348
  • [36] The approximation property for spaces of holomorphic functions on infinite dimensional spaces III
    Seán Dineen
    Jorge Mujica
    Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas, 2012, 106 : 457 - 469
  • [37] Continuity of generalized inverses of linear operators in Banach spaces and its applications
    Qiang-lian Huang
    Ji-pu Ma
    Applied Mathematics and Mechanics, 2005, 26 : 1657 - 1663
  • [38] The approximation property for spaces of holomorphic functions on infinite dimensional spaces III
    Dineen, Sean
    Mujica, Jorge
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2012, 106 (02) : 457 - 469
  • [39] Coupled best approximation theorems for discontinuous operators in partially ordered Banach spaces
    Kong, Dezhou
    Liu, Lishan
    Wu, Yonghong
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (06): : 2946 - 2956
  • [40] Linear operators and conjugations on a Banach space
    Motoyoshi, Haruna
    ACTA SCIENTIARUM MATHEMATICARUM, 2019, 85 (1-2): : 325 - 336