The version for compact operators of Lindenstrauss properties A and B

被引：0
作者：
Miguel Martín
机构：
[1] Universidad de Granada,Departamento de Análisis Matemático, Facultad de Ciencias
来源：
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas | 2016年 / 110卷
关键词：
Banach space; Norm attaining operators; Compact operators; Approximation property; Strict convexity; Primary 46B04; Secondary 46B20; 46B45; 46B28; 47B07;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
It has been very recently discovered that there are compact linear operators between Banach spaces which cannot be approximated by norm attaining operators. The aim of this expository paper is to give an overview of those examples and also of sufficient conditions ensuring that compact linear operators can be approximated by norm attaining operators. To do so, we introduce the analogues for compact operators of Lindenstrauss properties A and B.
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页码：269 / 284
页数：15
相关论文
共 40 条
  • [1] Acosta MD(1999)Denseness of norm-attaining operators into strictly convex spaces Proc. Royal Soc. Edinburgh. 129A 1107-1114
  • [2] Acosta MD(1999)Norm-attaining operators into Func. Spaces. Contemp. Math. 232 1-11
  • [3] Acosta MD(2006)Denseness of norm attaining mappings Rev. R. Acad. Cien. Serie A. Mat. 100 9-30
  • [4] Acosta MD(1996)A new sufficient condition for the denseness of norm attaining operators Rocky. Mountain. J. Math. 26 407-418
  • [5] Aguirre FJ(1961)A proof that every Banach space is subreflexive Bull. Amer. Math. Soc. 67 97-98
  • [6] Payá R(1977)On dentability and the Bishop-Phelps property Isr. J. Math. 28 265271-382
  • [7] Bishop E(2013)A Bishop-Phelps-Bollobás type theorem for uniform algebras Adv. Math. 240 370-46
  • [8] Phelps RR(1976)The Radon-Nikodým theorem for Banach space valued measures Rocky. Mountain. J. Math. 6 1-92
  • [9] Bourgain J(2002)On contractively complemented subspaces of separable Isr. J. Math. 128 77-500
  • [10] Cascales B(2009)-preduals Math. Ann. 344 491-25
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