Surjective isometry in reflexive strongly facially symmetric spaces
UDC 517.982, 517.986 We study the isometry properties of strongly facially symmetric spaces. It is shown that a linear operator in a reflexive strongly facially symmetric space is a surjective isometry if and only if it maps the set of indecomposable geometric tripotents onto itself and preserves t...
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| Datum: | 2026 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Institute of Mathematics, NAS of Ukraine
2026
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/9022 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1871646540205916160 |
|---|---|
| author | Seypullaev, Jumabek Eshniyazova, Dilfuza Seypullaev, Jumabek Eshniyazova, Dilfuza |
| author_facet | Seypullaev, Jumabek Eshniyazova, Dilfuza Seypullaev, Jumabek Eshniyazova, Dilfuza |
| author_institution_txt_mv | [
{
"author": "Jumabek Seypullaev",
"institution": "Karakalpak State University, Nukus, Uzbekistan; V. I. Romanovskiy Institute of Mathematics,\tUzbekistan Academy of Sciences, Tashkent, Uzbekistan"
},
{
"author": "Dilfuza Eshniyazova",
"institution": "Nukus State Pedagogical Institute, Nukus, Uzbekistan"
}
] |
| author_sort | Seypullaev, Jumabek |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2026-07-24T15:24:13Z |
| description | UDC 517.982, 517.986
We study the isometry properties of strongly facially symmetric spaces. It is shown that a linear operator in a reflexive strongly facially symmetric space is a surjective isometry if and only if it maps the set of indecomposable geometric tripotents onto itself and preserves the orthogonality relations within this set. |
| doi_str_mv | 10.3842/umzh.v78i7-8.9022 |
| first_indexed | 2026-07-25T01:00:34Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-9022 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-07-25T01:00:34Z |
| publishDate | 2026 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-90222026-07-24T15:24:13Z Surjective isometry in reflexive strongly facially symmetric spaces Surjective isometry in reflexive strongly facially symmetric spaces Seypullaev, Jumabek Eshniyazova, Dilfuza Seypullaev, Jumabek Eshniyazova, Dilfuza Strongly facially symmetric space, norm exposed face, geometric tripotent, geometric Peirce projections, surjective isometry. 46B20, 46E30. UDC 517.982, 517.986 We study the isometry properties of strongly facially symmetric spaces. It is shown that a linear operator in a reflexive strongly facially symmetric space is a surjective isometry if and only if it maps the set of indecomposable geometric tripotents onto itself and preserves the orthogonality relations within this set. УДК 517.982, 517.986 Сюр'єктивні ізометрії в рефлексивних просторах із сильно граничною симетрією Досліджено ізометричні властивості у просторах із сильно граничною симетрією. Встановлено, що лінійний оператор у рефлексивному просторі із сильно граничною симетрією є сюр'єктивною ізометрією тоді й лише тоді, коли він відображає множину нерозкладних геометричних трипотентів на себе та зберігає відношення ортогональності на цій множині. Institute of Mathematics, NAS of Ukraine 2026-07-24 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/9022 10.3842/umzh.v78i7-8.9022 Ukrains’kyi Matematychnyi Zhurnal; Vol. 78 No. 7-8 (2026); 614 Український математичний журнал; Том 78 № 7-8 (2026); 614 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/9022/10692 Copyright (c) 2026 Jumabek Seypullaev, Dilfuza Eshniyazova |
| spellingShingle | Seypullaev, Jumabek Eshniyazova, Dilfuza Seypullaev, Jumabek Eshniyazova, Dilfuza Surjective isometry in reflexive strongly facially symmetric spaces |
| title | Surjective isometry in reflexive strongly facially symmetric spaces |
| title_alt | Surjective isometry in reflexive strongly facially symmetric spaces |
| title_full | Surjective isometry in reflexive strongly facially symmetric spaces |
| title_fullStr | Surjective isometry in reflexive strongly facially symmetric spaces |
| title_full_unstemmed | Surjective isometry in reflexive strongly facially symmetric spaces |
| title_short | Surjective isometry in reflexive strongly facially symmetric spaces |
| title_sort | surjective isometry in reflexive strongly facially symmetric spaces |
| topic_facet | Strongly facially symmetric space norm exposed face geometric tripotent geometric Peirce projections surjective isometry. 46B20 46E30. |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/9022 |
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