Infinite dimensional spaces in the set of strongly norm-attaining Lipschitz maps Page 1 Rev.
Mat. Iberoam. (Online first) DOI 10.4171/RMI/1425 © 2023 Real Sociedad Matemática …

In this paper, we provide an infinite metric space M such that the set SNA (M) of strongly
norm-attaining Lipschitz functions on M does not contain a subspace which is linearly …

In this paper we analyse when every element of $ X\widehat {\otimes} _\pi Y $ attains its
projective norm. We prove that this is the case if $ X $ is the dual of a subspace of a predual …

Motivated by the result [15] that there exist metric spaces for which the set of strongly norm-
attaining Lipschitz functions does not contain an isometric copy of c0, we introduce and …

It is well known that under certain conditions on a Banach space X, the set of bounded linear
operators attaining their numerical radius is a dense subset. We prove in this paper that if X …

If $ X $ is a separable reflexive Banach space, there are several natural Polish topologies on
$\mathcal {B}(X) $, the set of contraction operators on $ X $(none of which being …

We solve two main questions on linear structures of (non-) norm-attaining Lipschitz
functions. First, we show that for every infinite metric space $ M $, the set consisting of …

We study the set MA (X, Y) of operators between Banach spaces X and Y that attain their
minimum norm, and the set QMA (X, Y) of operators that quasi attain their minimum norm …

We construct a Banach space $ X $ for which the set of norm-attaining functionals $ NA
(X,\mathbb {R}) $ does not contain any non-trivial cone. Even more, given two linearly …

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