{"paper":{"title":"Extension operators for smooth functions on compact subsets of the reals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Enrique Jorda, Jochen Wengenroth, Leonhard Frerick","submitted_at":"2016-11-21T14:37:21Z","abstract_excerpt":"We introduce sufficient as well as necessary conditions for a compact set $K$ such that there is a continuous linear extension operator from the space of restrictions $C^\\infty(K)=\\lbrace F|_K: F\\in C^\\infty(\\mathbb R)\\rbrace$ to $C^\\infty(\\mathbb R)$. This allows us to deal with examples of the form $K=\\lbrace a_n:n\\in\\mathbb N\\rbrace \\cup \\lbrace 0\\rbrace$ for $a_n\\to 0$ previously considered by Fefferman and Ricci as well as Vogt."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.06808","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"}