{"paper":{"title":"Generalized boundary triples, Weyl functions and inverse problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Mark Malamud, Seppo Hassi, Vladimir Derkach","submitted_at":"2017-06-24T12:47:44Z","abstract_excerpt":"With a closed symmetric operator $A$ in a Hilbert space ${\\mathfrak H}$ a triple $\\Pi=\\{{\\mathcal H},\\Gamma_0,\\Gamma_1\\}$ of a Hilbert space ${\\mathcal H}$ and two abstract trace operators $\\Gamma_0$ and $\\Gamma_1$ from $A^*$ to ${\\mathcal H}$ is called a generalized boundary triple for $A^*$ if an abstract analogue of the second Green's formula holds. Various classes of generalized boundary triples are introduced and corresponding Weyl functions $M$ are investigated. The most important ones for applications are specific classes of (essentially) unitary boundary triples which guarantee that th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.07948","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"}