[Banach] Abstract of a paper by Simon Luecking

This is an announcement for the paper "Subspaces of almost Daugavet spaces" by Simon Luecking.

Abstract: We study the almost Daugavet property, a generalization of the Daugavet property. It is analysed what kind of subspaces and sums of Banach spaces with the almost Daugavet property have this property as well. The main result of the paper is: if $Z$ is a closed subspace of a separable almost Daugavet space $X$ such that the quotient space $X/Z$ contains no copy of $\ell_1$, then $Z$ has the almost Daugavet property, too.

Archive classification: math.FA

Mathematics Subject Classification: 46B04

Remarks: 5 pages

Submitted from: simon.luecking@fu-berlin.de

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

http://front.math.ucdavis.edu/1007.2916

or

http://arXiv.org/abs/1007.2916