{"paper":{"title":"Phase Retrieval in $\\ell_2(\\RR)$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Desai Cheng, John Haas, Peter G. Casazza, Sara Botelho-Andrade, Tin T. Tran","submitted_at":"2018-04-03T19:23:15Z","abstract_excerpt":"We will review the major results in finite dimensional real phase retrieval for vectors and projections. We then\n  (1)prove that many of these theorems hold in infinite dimensions,\n  (2) give counter-examples to show that many others fail in infinite dimensions,\n  (3)list finite dimensional results are unknown for $\\ell_2$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.01139","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"}