Banach Lie groupoid of partial isometries over restricted Grassmannian
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909564259008512 |
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| author | Goliński, Tomasz Jakimowicz, Grzegorz Sliżewska, Aneta |
| author_facet | Goliński, Tomasz Jakimowicz, Grzegorz Sliżewska, Aneta |
| contents | The set of partial isometries in a W*-algebra possesses a structure of Banach Lie groupoid. In this paper the differential structure on the set of partial isometries over the restricted Grassmannian is constructed, which makes it into a Banach Lie groupoid. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_12847 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Banach Lie groupoid of partial isometries over restricted Grassmannian Goliński, Tomasz Jakimowicz, Grzegorz Sliżewska, Aneta Differential Geometry Functional Analysis 58B25, 58H05, 22A22, 22E65, 47B10 The set of partial isometries in a W*-algebra possesses a structure of Banach Lie groupoid. In this paper the differential structure on the set of partial isometries over the restricted Grassmannian is constructed, which makes it into a Banach Lie groupoid. |
| title | Banach Lie groupoid of partial isometries over restricted Grassmannian |
| topic | Differential Geometry Functional Analysis 58B25, 58H05, 22A22, 22E65, 47B10 |
| url | https://arxiv.org/abs/2404.12847 |