{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009626868,0.0001537441,0.0005334768,0.00001101145,0.0000941218,0.00003191919,0.0006639148,0.0000966657,0.0002026719],"category_scores_gemma":[0.001207905,0.00007405932,0.0006492512,0.0002094618,0.000245302,0.0001285281,0.0001577889,0.0003648603,0.00001749714],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003210735,"about_ca_system_score_gemma":0.0001037953,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":4.513228e-7,"about_ca_topic_score_gemma":7.585263e-8,"domain_scores_codex":[0.9982386,0.0001390137,0.0008120032,0.00009278688,0.0005436015,0.0001739763],"domain_scores_gemma":[0.9986125,0.0002354332,0.0005363077,0.0002324278,0.0002304426,0.0001528549],"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":[0.0004363279,0.00194607,0.001268045,0.007305958,0.002086196,0.00003390345,0.08924639,0.00006818527,0.2007152,0.5343881,0.1613655,0.001140207],"study_design_scores_gemma":[0.003333188,0.0008185777,0.0001428086,0.002579618,0.00125717,0.0004285363,0.0206316,0.004534993,0.3727709,0.5894691,0.003215102,0.0008183233],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9895585,0.0003925466,0.003065014,0.005595238,0.0000988664,0.0002222444,0.000006568008,0.00002192156,0.001039115],"genre_scores_gemma":[0.9821332,0.000044522,0.01663806,0.0007513623,0.0002552868,0.000001723354,5.996267e-8,0.0000277772,0.0001480425],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1720558,"threshold_uncertainty_score":0.3020051,"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."}}