{"id":"W2036540977","doi":"10.1016/j.jfa.2004.04.002","title":"Standard triangularization of semigroups of non-negative operators","year":2004,"lang":"en","type":"article","venue":"Journal of Functional Analysis","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"ca_institutions":"Dalhousie University; University of Prince Edward Island","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Linear subspace; Semigroup; Trace class; TRACE (psycholinguistics); Pure mathematics; Scalar (mathematics); Operator (biology); Operator theory; Identity (music); Class (philosophy); Discrete mathematics; Hilbert space; Computer science","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001595133,0.0005212103,0.0006280593,0.001034863,0.001207772,0.003115219,0.001014095,0.0006926588,0.01299885],"category_scores_gemma":[0.003393563,0.0003711513,0.0009481211,0.0005140954,0.002248088,0.003590861,0.001730642,0.001842362,0.001062886],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001299192,"about_ca_system_score_gemma":0.0008718797,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001080027,"about_ca_topic_score_gemma":0.001256468,"domain_scores_codex":[0.9986687,0.0002578683,0.0001006238,0.0002944395,0.0004190312,0.0002594272],"domain_scores_gemma":[0.9970463,0.0007252368,0.0003063405,0.0004302229,0.0009496222,0.0005422824],"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":[0.00006745813,0.00002698578,0.0001445398,0.00002575819,0.000007323121,0.00006460989,0.0003119518,0.0008579902,0.004441846,0.9887555,0.0007275264,0.004568524],"study_design_scores_gemma":[0.0000204855,0.0000587357,0.0002759922,0.00000884598,0.000009473279,0.0001371857,0.0002148143,0.02494233,0.002708377,0.9675029,0.004103163,0.00001777019],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2123259,0.0005113402,0.7016832,0.0009688172,0.0007431562,0.000107673,0.0002811752,0.0003763251,0.08300252],"genre_scores_gemma":[0.8970144,0.0004191253,0.0533326,0.0003926432,0.0005836835,0.000130468,0.0003104928,0.0002433754,0.04757329],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01299885,"threshold_uncertainty_score":0.04348546,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01620249802094286,"score_gpt":0.2913457405531226,"score_spread":0.2751432425321798,"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."}}