{"paper":{"title":"On the geometry of normal projections in Krein spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.FA","authors_text":"Alejandra Maestripieri, Eduardo Chiumiento, Francisco Mart\\'inez Per\\'ia","submitted_at":"2015-04-16T14:36:47Z","abstract_excerpt":"Let $\\mathcal{H}$ be a Krein space with fundamental symmetry $J$. Along this paper, the geometric structure of the set of $J$-normal projections $\\mathcal{Q}$ is studied. The group of $J$-unitary operators $\\mathcal{U}_J$ naturally acts on $\\mathcal{Q}$. Each orbit of this action turns out to be an analytic homogeneous space of $\\mathcal{U}_J$, and a connected component of $\\mathcal{Q}$. The relationship between $\\mathcal{Q}$ and the set $\\mathcal{E}$ of $J$-selfadjoint projections is analized: both sets are analytic submanifolds of $L(\\mathcal{H})$ and there is a natural real analytic submers"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.04253","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}