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arXiv · 1505.07604

Separable reduction of Frechet subdifferentiability in Asplund spaces

Marek Cuth·Marian Fabian
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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.

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BibTeXRIS

Marek Cuth, Marian Fabian. 2015-05-28. Separable reduction of Frechet subdifferentiability in Asplund spaces. https://doi.org/10.1016/j.jfa.2015.12.005

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