47 citations · 225 across the 22 of their papers we have counts for
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math.FA2015
Separable determination of (generalized-)lushness
Marek Cuth
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.
math.FA2015★ 12 cited
Separable reduction of Frechet subdifferentiability in Asplund spaces
Marek Cuth, Marian Fabian
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…
math.FA2015★ 47 cited
On the structure of Lipschitz-free spaces
Marek Cuth, Michal Doucha, Przemyslaw Wojtaszczyk
In this note we study the structure of Lipschitz-free Banach spaces. We show that every Lipschitz-free Banach space over an infinite metric space contains a complemented copy of $\…