{"id":"W3088579629","doi":"10.4134/jkms.j190439","title":"Properties of operator matrices","year":2020,"lang":"en","type":"article","venue":"Journal of the Korean Mathematical Society","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Operator (biology); Finite-rank operator; Operator matrix; Pure mathematics; Compact operator; Shift operator; Algebra over a field; Banach space; Extension (predicate logic)","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009997555,0.0007344388,0.0005818501,0.003196004,0.001261562,0.003034224,0.0007377515,0.0008319439,0.008927984],"category_scores_gemma":[0.004821423,0.0003732367,0.0006770555,0.001407364,0.001836154,0.00423556,0.001376369,0.001742727,0.001363185],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007200451,"about_ca_system_score_gemma":0.0006365791,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000476729,"about_ca_topic_score_gemma":0.000335022,"domain_scores_codex":[0.9993246,0.0001562072,0.00005328998,0.0001750049,0.0001958412,0.00009511243],"domain_scores_gemma":[0.9969082,0.001169453,0.0004646444,0.0002215421,0.000804212,0.0004318811],"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":[0.0000236879,0.00002487342,0.0002992183,0.00002846356,0.000008289318,0.00007706563,0.0002127534,0.0003863176,0.002173519,0.9901523,0.001009711,0.005603706],"study_design_scores_gemma":[0.0000100329,0.00002856624,0.0004467139,0.00001020478,0.000008270547,0.0002618239,0.0000941293,0.00551459,0.0009831799,0.9890158,0.003610789,0.00001590842],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.477323,0.002694215,0.2747556,0.003408512,0.0009827244,0.0001189486,0.000743425,0.0004546768,0.2395189],"genre_scores_gemma":[0.9462026,0.001192174,0.02072262,0.0004635689,0.0008237992,0.00009395098,0.0004284553,0.0001807278,0.02989223],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008927984,"threshold_uncertainty_score":0.02986705,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0649755509465694,"score_gpt":0.2729491214210335,"score_spread":0.2079735704744641,"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."}}