Separable reduction of Frechet subdifferentiability in Asplund spaces
Functional Analysis
2016-01-22 v1
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.
Cite
@article{arxiv.1505.07604,
title = {Separable reduction of Frechet subdifferentiability in Asplund spaces},
author = {Marek Cuth and Marian Fabian},
journal= {arXiv preprint arXiv:1505.07604},
year = {2016}
}