{"id":"W2946684991","doi":"10.1007/s13324-019-00312-y","title":"Linear polynomial approximation schemes in Banach holomorphic function spaces","year":2019,"lang":"en","type":"article","venue":"Analysis and Mathematical Physics","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université Laval","funders":"","keywords":"Banach space; Holomorphic function; Approximation property; Bounded function; Polynomial; Linear operators; Norm (philosophy); Holomorphic functional calculus; Matrix polynomial","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":[0.0006128193,0.0001963332,0.0005980277,0.0001386503,0.00005622779,0.00005172205,0.00009292785,0.0001191159,0.0003608973],"category_scores_gemma":[0.000112165,0.0001581934,0.0001728113,0.0006780834,0.00007431902,0.0001829762,0.00004502191,0.000191382,0.0001564016],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002455565,"about_ca_system_score_gemma":0.00001959465,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000007576255,"about_ca_topic_score_gemma":0.000006148222,"domain_scores_codex":[0.9987163,0.0001111078,0.0003837925,0.0003109188,0.0002465969,0.0002312707],"domain_scores_gemma":[0.9990979,0.000295878,0.0001285529,0.0003468109,0.00005309927,0.00007775717],"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":[0.0000529648,0.0005414605,0.006939458,0.0003498439,0.0006929509,0.000003191478,0.0007841945,0.00008949426,0.002157636,0.98677,0.0002746305,0.001344129],"study_design_scores_gemma":[0.001236445,0.0001449856,0.0009794696,0.00008129125,0.001664425,0.000004051116,0.001257514,0.06763581,0.00272435,0.9233602,0.0003418031,0.0005696964],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8971714,0.00004370902,0.09921687,0.00007808171,0.00003304349,0.000237121,0.000004441315,0.00003941627,0.003175951],"genre_scores_gemma":[0.9914261,0.00001298339,0.007681595,0.00009697355,0.00006203816,0.00001417613,0.00001680397,0.00002223209,0.0006670876],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.09425475,"threshold_uncertainty_score":0.645094,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.023099750555301,"score_gpt":0.2770298009880789,"score_spread":0.2539300504327779,"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."}}