A Remark on Isometries of Absolutely Continuous Spaces
The purpose of this article is to study the isometries between vector-valued absolutely continuous function spaces, over compact subsets of the real line. Indeed, under certain conditions, it is shown that such isometries can be represented as a weighted composition operator.
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/3290840 |
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| _version_ | 1850216865417134080 |
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| author | Alireza Ranjbar-Motlagh |
| author_facet | Alireza Ranjbar-Motlagh |
| author_sort | Alireza Ranjbar-Motlagh |
| collection | DOAJ |
| description | The purpose of this article is to study the isometries between vector-valued absolutely continuous function spaces, over compact subsets of the real line. Indeed, under certain conditions, it is shown that such isometries can be represented as a weighted composition operator. |
| format | Article |
| id | doaj-art-2f373c5099144ecd8f56d8a57d51614f |
| institution | OA Journals |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-2f373c5099144ecd8f56d8a57d51614f2025-08-20T02:08:12ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/32908403290840A Remark on Isometries of Absolutely Continuous SpacesAlireza Ranjbar-Motlagh0Department of Mathematical Sciences, Sharif University of Technology, P. O. Box, 11365-9415 Tehran, IranThe purpose of this article is to study the isometries between vector-valued absolutely continuous function spaces, over compact subsets of the real line. Indeed, under certain conditions, it is shown that such isometries can be represented as a weighted composition operator.http://dx.doi.org/10.1155/2020/3290840 |
| spellingShingle | Alireza Ranjbar-Motlagh A Remark on Isometries of Absolutely Continuous Spaces Journal of Function Spaces |
| title | A Remark on Isometries of Absolutely Continuous Spaces |
| title_full | A Remark on Isometries of Absolutely Continuous Spaces |
| title_fullStr | A Remark on Isometries of Absolutely Continuous Spaces |
| title_full_unstemmed | A Remark on Isometries of Absolutely Continuous Spaces |
| title_short | A Remark on Isometries of Absolutely Continuous Spaces |
| title_sort | remark on isometries of absolutely continuous spaces |
| url | http://dx.doi.org/10.1155/2020/3290840 |
| work_keys_str_mv | AT alirezaranjbarmotlagh aremarkonisometriesofabsolutelycontinuousspaces AT alirezaranjbarmotlagh remarkonisometriesofabsolutelycontinuousspaces |