{"paper":{"title":"The Proper Dissipative Extensions of a Dual Pair","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Christoph Fischbacher, Ian Wood, Sergey Naboko","submitted_at":"2016-03-27T09:12:27Z","abstract_excerpt":"Let $A$ and $(-\\widetilde{A})$ be dissipative operators on a Hilbert space $\\mathcal{H}$ and let $(A,\\widetilde{A})$ form a dual pair, i.e. $A\\subset\\widetilde{A}^*$, resp.\\ $\\widetilde{A}\\subset A^*$. We present a method of determining the proper dissipative extensions $\\widehat{A}$ of this dual pair, i.e. $A\\subset \\widehat{A}\\subset\\widetilde{A}^*$ provided that $\\mathcal{D}(A)\\cap\\mathcal{D}(\\widetilde{A})$ is dense in $\\mathcal{H}$.\n  Applications to symmetric operators, symmetric operators perturbed by a relatively bounded dissipative operator and more singular differential operators are"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.08192","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"}