{"paper":{"title":"Continuity of CP-semigroups in the point-strong operator topology","license":"","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Daniel Markiewicz, Orr Moshe Shalit","submitted_at":"2007-11-01T13:50:06Z","abstract_excerpt":"We prove that if $\\{\\phi_t\\}_{t \\geq 0}$ is a CP-semigroup acting on a von Neumann algebra $M \\subseteq B(H)$, then for every $A\\in M$ and $\\xi \\in H$, the map $t \\mapsto \\phi_t(A)\\xi$ is norm-continuous. We discuss the implications of this fact to the existence of dilations of CP-semigroups to semigroups of endomorphisms."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0711.0111","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"}