{"paper":{"title":"Spectrally unstable domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Gerardo A. Mendoza","submitted_at":"2016-03-01T17:58:14Z","abstract_excerpt":"Let $H$ be a separable Hilbert space, $A_c:\\mathcal D_c\\subset H\\to H$ a densely defined unbounded operator, bounded from below, let $\\mathcal D_{\\min}$ be the domain of the closure of $A_c$ and $\\mathcal D_{\\max}$ that of the adjoint. Assume that $\\mathcal D_{\\max}$ with the graph norm is compactly contained in $H$ and that $\\mathcal D_{\\min}$ has finite positive codimension in $\\mathcal D_{\\max}$. Then the set of domains of selfadjoint extensions of $A_c$ has the structure of a finite-dimensional manifold $\\mathfrak {SA}$ and the spectrum of each of its selfadjoint extensions is bounded from"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.00382","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"}