{"id":"W1603983170","doi":"10.1215/ijm/1258138548","title":"Extremal cases of exactness constants and completely bounded projection constants","year":2007,"lang":"en","type":"article","venue":"Illinois Journal of Mathematics","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Bounded function; Projection (relational algebra); Lambda; Space (punctuation); Operator (biology); Constant (computer programming); Combinatorics; Bounded operator; Integer (computer science); Pure mathematics; Mathematical analysis; Algorithm; Physics; Quantum mechanics","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":[0.002519093,0.0002704773,0.00087788,0.0003313409,0.000105083,0.00003009828,0.0002206628,0.0001342876,0.00005214841],"category_scores_gemma":[0.002195157,0.0002202296,0.0001422642,0.0002482412,0.0005316535,0.0002806389,0.0000616751,0.0003208686,0.000002260898],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001022406,"about_ca_system_score_gemma":0.0001333734,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004231283,"about_ca_topic_score_gemma":0.00003872787,"domain_scores_codex":[0.9972689,0.00009309214,0.001495532,0.0001519182,0.0006399178,0.0003506447],"domain_scores_gemma":[0.9937087,0.003078699,0.002076396,0.0002952761,0.0006772649,0.0001636708],"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":[0.002327762,0.005884719,0.007655254,0.007677241,0.001677229,0.003063888,0.02628083,0.00004871958,0.1350052,0.7811007,0.001424984,0.02785349],"study_design_scores_gemma":[0.004710643,0.001250634,0.0005543372,0.002452014,0.0006668892,0.01594756,0.02560567,0.00061186,0.09593094,0.8509559,0.0005032959,0.0008102647],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8463501,0.0003935732,0.1517186,0.00003195009,0.0001893742,0.0002882828,0.00002232188,0.00002712765,0.0009787465],"genre_scores_gemma":[0.8521441,0.0001015282,0.1475337,0.00001646135,0.00008778736,9.461156e-7,5.291818e-7,0.00004074312,0.00007421241],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.06985522,"threshold_uncertainty_score":0.8980703,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08595889074248314,"score_gpt":0.3526293555994385,"score_spread":0.2666704648569554,"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."}}