{"paper":{"title":"Examples of de Branges-Rovnyak spaces generated by nonextreme functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Bartosz {\\L}anucha, Maria T. Nowak","submitted_at":"2018-07-11T20:38:40Z","abstract_excerpt":"We describe de Branges-Rovnyak spaces $\\mathcal H (b_{\\alpha})$, $\\alpha>0$, where the function $b_{\\alpha}$ is not extreme in the unit ball of $H^{\\infty}$ on the unit disk $\\mathbb D$, defined by the equality $b_{\\alpha}(z)/a_{\\alpha}(z)=(1-z)^{-\\alpha}$, $z\\in\\mathbb D$, where $a_{\\alpha}$ is the outer function such that $a_{\\alpha}(0)>0$ and $|a_{\\alpha}|^2+|b_{\\alpha}|^2= 1$ a.e. on $\\partial \\mathbb D$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.04347","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"}