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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| Date: | 2026 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2026
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/9022 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| Summary: | 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 |