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arXiv · 2311.02920

Canonical embedding of Lipschitz-free $p$-spaces

Marek Cúth·Tomáš Raunig
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Abstract

We find a new finite algorithm for evaluation of Lipschitz-free $p$-space norm in finite-dimensional Lipschitz-free $p$-spaces. We use this algorithm to deal with the problem of whether given $p$-metric spaces $N\subset M$, the canonical embedding of $\mathcal{F}_p(N)$ into $\mathcal{F}_p(M)$ is an isomorphism. The most significant result in this direction is that the answer is positive if $N\subset M$ are metric spaces.

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Marek Cúth, Tomáš Raunig. 2023-11-06. Canonical embedding of Lipschitz-free $p$-spaces. https://doi.org/10.1007/s43037-024-00339-9

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