{"paper":{"title":"Topological linear spaces of formal linear sums and continuous linear operators","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":["math.OA"],"primary_cat":"math.RA","authors_text":"Nikolay Dubrovin","submitted_at":"2019-06-30T16:02:04Z","abstract_excerpt":"The rings of linear continuous operators on the topological spaces of $\\mathfrak{G}$-zero maps were described, where $\\mathfrak{G}$ is a filter on a set with an involution. This applies to modules of formal series with well ordered support over left ordered groups."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.00404","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"}