This is an announcement for the paper "The version for compact operators of Lindenstrauss properties A and B" by Miguel Martin.

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.

Archive classification: math.FA

Mathematics Subject Classification: Primary 46B04, Secondary 46B20, 46B45, 46B28, 47B07

Remarks: The final publication is available at Springer via

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1502.07084

or

http://arXiv.org/abs/1502.07084