{"paper":{"title":"Gleason parts for algebras of holomorphic functions on the ball of $\\mathbf{c_0}$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Manuel Maestre, Richard M. Aron, Silvia Lassalle, Ver\\'onica Dimant","submitted_at":"2019-02-05T15:17:05Z","abstract_excerpt":"For a complex Banach space $X$ with open unit ball $B_X,$ consider the Banach algebras $\\mathcal H^\\infty(B_X)$ of bounded scalar-valued holomorphic functions and the subalgebra $\\mathcal A_u(B_X)$ of uniformly continuous functions on $B_X.$ Denoting either algebra by $\\mathcal A,$ we study the Gleason parts of the set of scalar-valued homomorphisms $\\mathcal M(\\mathcal A)$ on $\\mathcal A.$ Following remarks on the general situation, we focus on the case $X = c_0.$"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.01735","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"}