{"id":"W2027578896","doi":"10.1090/s0002-9939-07-09086-7","title":"Characterizations of Disjointness preserving operators on vector-valued function spaces","year":2007,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"National Science Council; University of Alberta","keywords":"Mathematics; Function space; Pure mathematics; Function (biology); Algebra over a field; Biology","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.002098095,0.0005534395,0.001307126,0.0000925269,0.0003252761,0.00007367141,0.001011171,0.0001760737,0.0001474656],"category_scores_gemma":[0.002553484,0.0004022128,0.0008125565,0.001554063,0.001816914,0.0003690086,0.0005983338,0.0006156292,0.00002062024],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002342473,"about_ca_system_score_gemma":0.00007410595,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001715572,"about_ca_topic_score_gemma":0.000001413044,"domain_scores_codex":[0.9962777,0.00004703008,0.001271888,0.0005310895,0.001139623,0.0007326209],"domain_scores_gemma":[0.9947692,0.001090155,0.002681304,0.000572447,0.0006825304,0.000204327],"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":[0.0005345736,0.002062498,0.00272437,0.005870493,0.0008782308,4.028054e-7,0.01507332,0.00003267008,0.2354096,0.7350743,0.001483308,0.0008561866],"study_design_scores_gemma":[0.002082014,0.00227057,0.02999334,0.006868191,0.002471353,0.000022469,0.08780718,0.008721184,0.3181055,0.5392483,0.000396219,0.002013646],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9750625,0.00004701422,0.01857623,0.000948216,0.0001810698,0.001083157,0.00004442357,0.0001169744,0.003940445],"genre_scores_gemma":[0.9747294,0.00004375512,0.02380627,0.000209053,0.0002095887,0.00003077991,0.000002230159,0.0001327229,0.0008361601],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.195826,"threshold_uncertainty_score":0.999843,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01805428881180918,"score_gpt":0.2871747289621281,"score_spread":0.2691204401503189,"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."}}