English

The version for compact operators of Lindenstrauss properties A and B

Functional Analysis 2017-04-25 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1502.07084,
  title  = {The version for compact operators of Lindenstrauss properties A and B},
  author = {Miguel Martin},
  journal= {arXiv preprint arXiv:1502.07084},
  year   = {2017}
}

Comments

RACSAM (to appear). The final publication is available at Springer via http://dx.doi.org/10.1007/s13398-015-0219-5