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math.FA2022★ 1 cited
Renormings preserving local geometry at countably many points in spheres of Banach spaces and applications
Andrés Quilis
We develop tools to produce equivalent norms with specific local geometry around infinitely many points in the sphere of a Banach space via an inductive procedure. We combine this…
math.FA2022
On isometric embeddings into the set of strongly norm-attaining Lipschitz functions
Sheldon Dantas, Rubén Medina, Andrés Quilis +1
In this paper, we provide an infinite metric space such that the set $\mbox{SNA}(M)$ of strongly norm-attaining Lipschitz functions does not contain a subspace which is isometr…
math.FA2022
A complete metric space without non-trivial separable Lipschitz retracts
Petr Hájek, Andrés Quilis
We construct a complete metric space of cardinality continuum such that every non-singleton closed separable subset of fails to be a Lipschitz retract of . This provides…