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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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
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| Zusammenfassung: | 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. |
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| DOI: | 10.3842/umzh.v78i7-8.9022 |