The version for compact operators of Lindenstrauss properties A and B
arXiv:1502.07084 · doi:10.1007/s13398-015-0219-5
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.
RACSAM (to appear). The final publication is available at Springer via http://dx.doi.org/10.1007/s13398-015-0219-5
Cited by in corpus (6)
- The Bishop--Phelps--Bollobás property for Lipschitz maps
- Residuality in the set of norm attaining operators between Banach spaces
- Numerical radius attaining compact linear operators
- A Banach space whose set of norm-attaining functionals is algebraically trivial
- Stability results of properties related to the Bishop-Phelps-Bollobás property for operators
- Weak-star quasi norm attaining operators