Canonical embedding of Lipschitz-free $p$-spaces
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866917685669920768 |
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| author | Cúth, Marek Raunig, Tomáš |
| author_facet | Cúth, Marek Raunig, Tomáš |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_02920 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Canonical embedding of Lipschitz-free $p$-spaces Cúth, Marek Raunig, Tomáš Functional Analysis 46A16, 46B80, 46B85 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. |
| title | Canonical embedding of Lipschitz-free $p$-spaces |
| topic | Functional Analysis 46A16, 46B80, 46B85 |
| url | https://arxiv.org/abs/2311.02920 |