This is an announcement for the paper "Separable determination of (generalized-)lushness" by Marek Cuth.

Abstract: We prove that every Asplund lush space is generalized-lush using the method of separable reduction. This gives a partial positive answer to a question by Jan-David Hardtke.

Archive classification: math.FA

Mathematics Subject Classification: 46B26, 46B20

Submitted from: cuth@karlin.mff.cuni.cz

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

http://front.math.ucdavis.edu/1507.05709

or

http://arXiv.org/abs/1507.05709