Banach Lie groupoid of partial isometries over restricted Grassmannian
Differential Geometry
2025-04-07 v2 Functional Analysis
Abstract
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.
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Cite
@article{arxiv.2404.12847,
title = {Banach Lie groupoid of partial isometries over restricted Grassmannian},
author = {Tomasz Goliński and Grzegorz Jakimowicz and Aneta Sliżewska},
journal= {arXiv preprint arXiv:2404.12847},
year = {2025}
}
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13 pages