Lipschitz Operators Associated with Weakly $p$-Compact and Unconditionally $p$-Compact Sets
The study introduces different categories of Lipschitz operators linked with weakly $p$-compact and unconditionally $p$-compact sets. It explores some properties of these operator classes derived from linear operators associated with these sets and examines their interconnections. Additionally, it d...
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| Format: | Article |
| Language: | English |
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Çanakkale Onsekiz Mart University
2024-09-01
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| Series: | Journal of Advanced Research in Natural and Applied Sciences |
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| Online Access: | https://dergipark.org.tr/en/download/article-file/3789576 |
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| author | Ramazan İnal Ayşegül Keten Çopur |
| author_facet | Ramazan İnal Ayşegül Keten Çopur |
| author_sort | Ramazan İnal |
| collection | DOAJ |
| description | The study introduces different categories of Lipschitz operators linked with weakly $p$-compact and unconditionally $p$-compact sets. It explores some properties of these operator classes derived from linear operators associated with these sets and examines their interconnections. Additionally, it denotes that these classes are extensions of the related linear operators. Moreover, the study evaluates the concept of majorization by scrutinizing both newly obtained and pre-existing results and draws some conclusions based on these findings. The primary method used to obtain the results in the study is the linearization of Lipschitz operators through the Lipschitz-free space constructed over a pointed metric space. |
| format | Article |
| id | doaj-art-f61588fd8e42442ea0ff630384b713b9 |
| institution | Kabale University |
| issn | 2757-5195 |
| language | English |
| publishDate | 2024-09-01 |
| publisher | Çanakkale Onsekiz Mart University |
| record_format | Article |
| series | Journal of Advanced Research in Natural and Applied Sciences |
| spelling | doaj-art-f61588fd8e42442ea0ff630384b713b92025-02-05T18:13:03ZengÇanakkale Onsekiz Mart UniversityJournal of Advanced Research in Natural and Applied Sciences2757-51952024-09-0110353054110.28979/jarnas.1451630453Lipschitz Operators Associated with Weakly $p$-Compact and Unconditionally $p$-Compact SetsRamazan İnal0https://orcid.org/0000-0002-3230-7002Ayşegül Keten Çopur1https://orcid.org/0000-0002-7973-946XTC MİLLİ EĞİTİM BAKANLIĞI KONYANECMETTİN ERBAKAN ÜNİVERSİTESİ, FEN FAKÜLTESİThe study introduces different categories of Lipschitz operators linked with weakly $p$-compact and unconditionally $p$-compact sets. It explores some properties of these operator classes derived from linear operators associated with these sets and examines their interconnections. Additionally, it denotes that these classes are extensions of the related linear operators. Moreover, the study evaluates the concept of majorization by scrutinizing both newly obtained and pre-existing results and draws some conclusions based on these findings. The primary method used to obtain the results in the study is the linearization of Lipschitz operators through the Lipschitz-free space constructed over a pointed metric space.https://dergipark.org.tr/en/download/article-file/3789576lipschitz compact operatorlipschitz $p$-compact operatorlipschitz weakly $p$-compact operatorlipschitz unconditionally $p$-compact operatormajorization |
| spellingShingle | Ramazan İnal Ayşegül Keten Çopur Lipschitz Operators Associated with Weakly $p$-Compact and Unconditionally $p$-Compact Sets Journal of Advanced Research in Natural and Applied Sciences lipschitz compact operator lipschitz $p$-compact operator lipschitz weakly $p$-compact operator lipschitz unconditionally $p$-compact operator majorization |
| title | Lipschitz Operators Associated with Weakly $p$-Compact and Unconditionally $p$-Compact Sets |
| title_full | Lipschitz Operators Associated with Weakly $p$-Compact and Unconditionally $p$-Compact Sets |
| title_fullStr | Lipschitz Operators Associated with Weakly $p$-Compact and Unconditionally $p$-Compact Sets |
| title_full_unstemmed | Lipschitz Operators Associated with Weakly $p$-Compact and Unconditionally $p$-Compact Sets |
| title_short | Lipschitz Operators Associated with Weakly $p$-Compact and Unconditionally $p$-Compact Sets |
| title_sort | lipschitz operators associated with weakly p compact and unconditionally p compact sets |
| topic | lipschitz compact operator lipschitz $p$-compact operator lipschitz weakly $p$-compact operator lipschitz unconditionally $p$-compact operator majorization |
| url | https://dergipark.org.tr/en/download/article-file/3789576 |
| work_keys_str_mv | AT ramazaninal lipschitzoperatorsassociatedwithweaklypcompactandunconditionallypcompactsets AT aysegulketencopur lipschitzoperatorsassociatedwithweaklypcompactandunconditionallypcompactsets |