{"id":"W1971011229","doi":"10.1016/j.laa.2012.06.019","title":"Wielandt’s theorem, spectral sets and Banach algebras","year":2012,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Guelph","funders":"Technische Universität Braunschweig","keywords":"Mathematics; Generalization; Spectrum (functional analysis); Pure mathematics; Eigenvalues and eigenvectors; Von Neumann architecture; Unital; Banach algebra; Set (abstract data type); Banach space; Algebra over a field; Mathematical analysis","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002210495,0.0001942742,0.0002168681,0.00006167739,0.0002381397,0.00003112555,0.0001405833,0.0001145785,0.0001280581],"category_scores_gemma":[0.0001189968,0.0001725298,0.00003948883,0.0001668985,0.0001046428,0.0002472348,0.0001146316,0.0002258199,0.00007597652],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001869529,"about_ca_system_score_gemma":0.0000150589,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002325871,"about_ca_topic_score_gemma":0.000004597824,"domain_scores_codex":[0.9989195,0.00003455949,0.0002570536,0.0002750688,0.0001500745,0.0003637656],"domain_scores_gemma":[0.9989503,0.0003258192,0.00009267917,0.0003574023,0.00004702881,0.0002267438],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000003550902,0.00008770177,0.001240842,0.00004640314,0.00002541699,3.501912e-7,0.0003621877,1.200652e-7,0.0003227404,0.9945999,0.000359209,0.002951548],"study_design_scores_gemma":[0.0003535833,0.00002782568,0.003327848,0.0000142209,0.00007267157,0.00005271391,0.0001325097,0.0002170068,0.002780439,0.9611284,0.03159461,0.0002981774],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9378974,0.003602609,0.03996031,0.001578149,0.0001441679,0.001260262,0.00006233549,0.0003322315,0.01516257],"genre_scores_gemma":[0.9634765,0.0003177584,0.03403179,0.0002845584,0.000551832,0.0001677108,0.00002343167,0.00004651948,0.001099852],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.03347154,"threshold_uncertainty_score":0.7035561,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.033383677610249,"score_gpt":0.3210918417477509,"score_spread":0.2877081641375019,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}