{"id":"W1993186908","doi":"10.1090/s0002-9939-08-09775-x","title":"A version of Lomonosov’s theorem for collections of positive operators","year":2008,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Algebra over a field; Pure mathematics","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":[0.0004202615,0.0001763609,0.0006815221,0.00003928679,0.0002073447,0.000004396078,0.00039341,0.00005430517,0.00002203505],"category_scores_gemma":[0.00129023,0.0001213802,0.0005669479,0.0007787723,0.001681304,0.0001004757,0.0001627729,0.0001344845,9.276184e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000810561,"about_ca_system_score_gemma":0.00005897694,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006618275,"about_ca_topic_score_gemma":2.407527e-7,"domain_scores_codex":[0.9987347,0.00001450458,0.0004879643,0.0001872372,0.0003465791,0.0002290798],"domain_scores_gemma":[0.9972768,0.0009930838,0.0009299738,0.0001818713,0.0005606461,0.0000576417],"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":[0.0004397012,0.001311371,0.0007761556,0.001841236,0.000584005,1.285791e-7,0.02015914,0.0000130826,0.1587265,0.7984531,0.01752473,0.0001708899],"study_design_scores_gemma":[0.0005812342,0.0004313235,0.0001573608,0.0002784533,0.0001968627,0.00001504283,0.01140559,0.0007523693,0.3111401,0.6748343,0.00003194858,0.0001754273],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.983555,0.00001474656,0.01021821,0.0002808736,0.00002194612,0.0008298276,0.00006371018,0.00003973386,0.00497599],"genre_scores_gemma":[0.8599384,0.00002518452,0.1393851,0.00004575267,0.00002152711,0.0000419149,4.445882e-7,0.00003488885,0.000506706],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1524137,"threshold_uncertainty_score":0.6194835,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01659124173125259,"score_gpt":0.2853532168425827,"score_spread":0.2687619751113302,"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."}}