This is an announcement for the paper "Separable reduction of Frechet subdifferentiability in Asplund spaces" by Marek Cuth and Marian Fabian.

Abstract: In the framework of Asplund spaces, we use two equivalent instruments - rich families and suitable models from logic - for performing separable reductions of various statements on Frechet subdifferentiability of functions. This way, isometrical results are actually obtained and several existed proofs are substantially simplified. Everything is based on a new structural characterization of Asplund spaces.

Archive classification: math.FA

Mathematics Subject Classification: 46B26, 58C20, 46B20, 03C30

Submitted from: marek.cuth@gmail.com

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

http://front.math.ucdavis.edu/1505.07604

or

http://arXiv.org/abs/1505.07604