Isometric Imbedding of Some Metric Spaces in lp-Spaces
We present a generalization of a result of Fichet, who proved in 1988 that every ulltrametric space consisting of n points is imbedded isometrically in \(l_p^{n - 1} ,p \geqslant 1\) .
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| Date: | 2001 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2001
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4389 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510518751526912 |
|---|---|
| author | Vestfrid, I. A Вестфрид, А. |
| author_facet | Vestfrid, I. A Вестфрид, А. |
| author_sort | Vestfrid, I. A |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:27:29Z |
| description | We present a generalization of a result of Fichet, who proved in 1988 that every ulltrametric space consisting of n points is imbedded isometrically in \(l_p^{n - 1} ,p \geqslant 1\) . |
| first_indexed | 2026-03-24T02:58:17Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4389 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T02:58:17Z |
| publishDate | 2001 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/1e/63c58484026393729b13b431c3b1291e.pdf |
| spelling | umjimathkievua-article-43892020-03-18T20:27:29Z Isometric Imbedding of Some Metric Spaces in lp-Spaces Ізометричне вкладення деяких метричних просторів у $l_p$-простори Vestfrid, I. A Вестфрид, А. We present a generalization of a result of Fichet, who proved in 1988 that every ulltrametric space consisting of n points is imbedded isometrically in \(l_p^{n - 1} ,p \geqslant 1\) . Наведено узагальнення результату Фічета, який у 1988 р. довів, що кожний ультраметричний простір, що складається з п точок, ізометрично вкладений у $l_p^{n - 1} ,p \geqslant 1$. Institute of Mathematics, NAS of Ukraine 2001-12-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4389 Ukrains’kyi Matematychnyi Zhurnal; Vol. 53 No. 12 (2001); 1718-1723 Український математичний журнал; Том 53 № 12 (2001); 1718-1723 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/4389/5482 https://umj.imath.kiev.ua/index.php/umj/article/view/4389/5483 Copyright (c) 2001 Vestfrid I. A |
| spellingShingle | Vestfrid, I. A Вестфрид, А. Isometric Imbedding of Some Metric Spaces in lp-Spaces |
| title | Isometric Imbedding of Some Metric Spaces in lp-Spaces |
| title_alt | Ізометричне вкладення деяких метричних просторів у $l_p$-простори |
| title_full | Isometric Imbedding of Some Metric Spaces in lp-Spaces |
| title_fullStr | Isometric Imbedding of Some Metric Spaces in lp-Spaces |
| title_full_unstemmed | Isometric Imbedding of Some Metric Spaces in lp-Spaces |
| title_short | Isometric Imbedding of Some Metric Spaces in lp-Spaces |
| title_sort | isometric imbedding of some metric spaces in lp-spaces |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4389 |
| work_keys_str_mv | AT vestfridia isometricimbeddingofsomemetricspacesinlpspaces AT vestfrida isometricimbeddingofsomemetricspacesinlpspaces AT vestfridia ízometričnevkladennâdeâkihmetričnihprostorívulpprostori AT vestfrida ízometričnevkladennâdeâkihmetričnihprostorívulpprostori |