| Title:
|
Isometric embeddings of a class of separable metric spaces into Banach spaces (English) |
| Author:
|
Mercourakis, Sophocles K. |
| Author:
|
Vassiliadis, Vassiliadis G. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
59 |
| Issue:
|
2 |
| Year:
|
2018 |
| Pages:
|
233-239 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $(M,d)$ be a bounded countable metric space and $c>0$ a constant, such that $d(x,y)+d(y,z)-d(x,z)\geq c$, for any pairwise distinct points $x,y,z$ of $M$. For such metric spaces we prove that they can be isometrically embedded into any Banach space containing an isomorphic copy of $\ell_\infty $. (English) |
| Keyword:
|
concave metric space |
| Keyword:
|
isometric embedding |
| Keyword:
|
separated set |
| MSC:
|
46B20 |
| MSC:
|
46B26 |
| MSC:
|
46E15 |
| MSC:
|
54D30 |
| idZBL:
|
Zbl 06940866 |
| idMR:
|
MR3815688 |
| DOI:
|
10.14712/1213-7243.2015.239 |
| . |
| Date available:
|
2018-06-28T08:46:50Z |
| Last updated:
|
2020-07-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147256 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
