The Embedding Theorem of an L0-Prebarreled Module into Its Random Biconjugate Space
We first prove Mazur’s lemma in a random locally convex module endowed with the locally L0-convex topology. Then, we establish the embedding theorem of an L0-prebarreled random locally convex module, which says that if (S,P) is an L0-prebarreled random locally convex module such that S has the count...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2017/8520797 |
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| author | Xia Zhang Ming Liu |
| author_facet | Xia Zhang Ming Liu |
| author_sort | Xia Zhang |
| collection | DOAJ |
| description | We first prove Mazur’s lemma in a random locally convex module endowed with the locally L0-convex topology. Then, we establish the embedding theorem of an L0-prebarreled random locally convex module, which says that if (S,P) is an L0-prebarreled random locally convex module such that S has the countable concatenation property, then the canonical embedding mapping J of S onto J(S)⊂(Ss⁎)s⁎ is an L0-linear homeomorphism, where (Ss⁎)s⁎ is the strong random biconjugate space of S under the locally L0-convex topology. |
| format | Article |
| id | doaj-art-ea1f0045b4ea484382c651e5963fc978 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-ea1f0045b4ea484382c651e5963fc9782025-02-03T01:02:32ZengWileyJournal of Function Spaces2314-88962314-88882017-01-01201710.1155/2017/85207978520797The Embedding Theorem of an L0-Prebarreled Module into Its Random Biconjugate SpaceXia Zhang0Ming Liu1Department of Mathematics, School of Science, Tianjin Polytechnic University, Tianjin 300387, ChinaDepartment of Mathematics, School of Science, Tianjin Polytechnic University, Tianjin 300387, ChinaWe first prove Mazur’s lemma in a random locally convex module endowed with the locally L0-convex topology. Then, we establish the embedding theorem of an L0-prebarreled random locally convex module, which says that if (S,P) is an L0-prebarreled random locally convex module such that S has the countable concatenation property, then the canonical embedding mapping J of S onto J(S)⊂(Ss⁎)s⁎ is an L0-linear homeomorphism, where (Ss⁎)s⁎ is the strong random biconjugate space of S under the locally L0-convex topology.http://dx.doi.org/10.1155/2017/8520797 |
| spellingShingle | Xia Zhang Ming Liu The Embedding Theorem of an L0-Prebarreled Module into Its Random Biconjugate Space Journal of Function Spaces |
| title | The Embedding Theorem of an L0-Prebarreled Module into Its Random Biconjugate Space |
| title_full | The Embedding Theorem of an L0-Prebarreled Module into Its Random Biconjugate Space |
| title_fullStr | The Embedding Theorem of an L0-Prebarreled Module into Its Random Biconjugate Space |
| title_full_unstemmed | The Embedding Theorem of an L0-Prebarreled Module into Its Random Biconjugate Space |
| title_short | The Embedding Theorem of an L0-Prebarreled Module into Its Random Biconjugate Space |
| title_sort | embedding theorem of an l0 prebarreled module into its random biconjugate space |
| url | http://dx.doi.org/10.1155/2017/8520797 |
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