| Title:
|
Some approximation results in Musielak-Orlicz spaces (English) |
| Author:
|
Youssfi, Ahmed |
| Author:
|
Ahmida, Youssef |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
70 |
| Issue:
|
2 |
| Year:
|
2020 |
| Pages:
|
453-471 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We prove the continuity in norm of the translation operator in the Musielak-Orlicz $L_{M}$ spaces. An application to the convergence in norm of approximate identities is given, whereby we prove density results of the smooth functions in $L_{M}$, in both the modular and norm topologies. These density results are then applied to obtain basic topological properties. (English) |
| Keyword:
|
approximate identity |
| Keyword:
|
Musielak-Orlicz space |
| Keyword:
|
density of smooth functions |
| MSC:
|
46B10 |
| MSC:
|
46E30 |
| idZBL:
|
07217145 |
| idMR:
|
MR4111853 |
| DOI:
|
10.21136/CMJ.2019.0355-18 |
| . |
| Date available:
|
2020-06-17T12:34:36Z |
| Last updated:
|
2022-07-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148239 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| . |
