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2 votes
0 answers
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Perturbing the approximation property from the Lipschitz-free space to stay in the Wasserstein space

Let $(X,d,x)$ be a separable pointed metric space and let $\mathcal{F}(X)$ be its Arens-Eells (also called its Lipschitz-Free space; in the case where $X$ is Banach) space. We view the $1$-...
ABIM's user avatar
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5 votes
0 answers
139 views

Copies of $\ell_\infty^k$ in subspaces of the space of operators between $n$-dimensional Banach spaces

Are there a positive integer $k$ and an unbounded increasing function $d:\mathbb N\to\mathbb N$ (of growth order $\Omega(n^2)$) such that for any $n$-dimensional Banach spaces $X,Y$, the Banach space $...
Lviv Scottish Book's user avatar