{"paper":{"title":"Dynamics of weighted composition operators on spaces of continuous functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Enrique Jord\\'a, Mar\\'ia Jos\\'e Beltr\\'an, Marina Murillo-Arcila","submitted_at":"2019-02-21T16:15:04Z","abstract_excerpt":"Our study is focused on the dynamics of weighted composition operators defined on a locally convex space $E\\hookrightarrow (C(X),\\tau_p)$ with $X$ being a topological Hausdorff space containing at least two different points and such that the evaluations $\\{\\delta_x:\\ x\\in X\\}$ are linearly independent in $E'$. We prove, when $X$ is compact and $E$ is a Banach space containing a nowhere vanishing function, that a weighted composition operator $C_{\\varphi,\\omega}$ is never weakly supercyclic on $E$. We also prove that if the symbol $\\varphi$ lies in the unit ball of $A(\\mathbb{D})$, then every w"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.08118","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"}