Note on Order-Isomorphic Isometric Embeddings of Some Recent Function Spaces
We investigate certain recently introduced ODE-determined varying exponent Lp spaces. It turns out that these spaces are finitely representable in a concrete universal varying exponent lp space. Moreover, this can be accomplished in a natural unified fashion. This leads to order-isomorphic isometric...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2015/186105 |
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| _version_ | 1850218225659281408 |
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| author | Jarno Talponen |
| author_facet | Jarno Talponen |
| author_sort | Jarno Talponen |
| collection | DOAJ |
| description | We investigate certain recently introduced ODE-determined varying exponent Lp spaces. It turns out that these spaces are finitely representable in a concrete universal varying exponent lp space. Moreover, this can be accomplished in a natural unified fashion. This leads to order-isomorphic isometric embeddings of all of the above Lp spaces to an ultrapower of the above varying exponent lp space. |
| format | Article |
| id | doaj-art-3da4bb534e364a8cb831ec738faf67d8 |
| institution | OA Journals |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-3da4bb534e364a8cb831ec738faf67d82025-08-20T02:07:49ZengWileyJournal of Function Spaces2314-88962314-88882015-01-01201510.1155/2015/186105186105Note on Order-Isomorphic Isometric Embeddings of Some Recent Function SpacesJarno Talponen0Department of Physics and Mathematics, University of Eastern Finland, P.O. Box 111, 80101 Joensuu, FinlandWe investigate certain recently introduced ODE-determined varying exponent Lp spaces. It turns out that these spaces are finitely representable in a concrete universal varying exponent lp space. Moreover, this can be accomplished in a natural unified fashion. This leads to order-isomorphic isometric embeddings of all of the above Lp spaces to an ultrapower of the above varying exponent lp space.http://dx.doi.org/10.1155/2015/186105 |
| spellingShingle | Jarno Talponen Note on Order-Isomorphic Isometric Embeddings of Some Recent Function Spaces Journal of Function Spaces |
| title | Note on Order-Isomorphic Isometric Embeddings of Some Recent Function Spaces |
| title_full | Note on Order-Isomorphic Isometric Embeddings of Some Recent Function Spaces |
| title_fullStr | Note on Order-Isomorphic Isometric Embeddings of Some Recent Function Spaces |
| title_full_unstemmed | Note on Order-Isomorphic Isometric Embeddings of Some Recent Function Spaces |
| title_short | Note on Order-Isomorphic Isometric Embeddings of Some Recent Function Spaces |
| title_sort | note on order isomorphic isometric embeddings of some recent function spaces |
| url | http://dx.doi.org/10.1155/2015/186105 |
| work_keys_str_mv | AT jarnotalponen noteonorderisomorphicisometricembeddingsofsomerecentfunctionspaces |