{"paper":{"title":"A counterexample to a theorem of Bremermann on Shilov boundaries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Marek Jarnicki, Peter Pflug","submitted_at":"2013-09-14T12:44:35Z","abstract_excerpt":"We give a counterexample to the following theorem of Bremermann on Shilov boundaries: if $D$ is a bounded domain in $\\mathbb C^n$ having a univalent envelope of holomorphy, say $\\widetilde D$, then the Shilov boundary of $D$ with respect to the algebra $\\mathcal A(D)$ coincides with the corresponding one for $\\widetilde D$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.3657","kind":"arxiv","version":2},"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"}