{"id":"W1972298381","doi":"10.1016/j.jfa.2007.03.011","title":"Strong Haagerup inequalities for free <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:mi mathvariant=\"script\">R</mml:mi></mml:math>-diagonal elements","year":2007,"lang":"en","type":"article","venue":"Journal of Functional Analysis","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":36,"is_retracted":false,"has_abstract":false,"ca_institutions":"Queen's University","funders":"","keywords":"Mathematics; Diagonal; Holomorphic function; Pure mathematics; Algebra over a field; Geometry","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.003210424,0.0003652404,0.000523755,0.0006711913,0.0005714797,0.0002817849,0.000660486,0.0003197037,0.0008834099],"category_scores_gemma":[0.001930309,0.0003788469,0.001283272,0.0008099863,0.0001895214,0.0008543654,0.0003146332,0.0007265109,0.0001384382],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001129666,"about_ca_system_score_gemma":0.0004952121,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00006639236,"about_ca_topic_score_gemma":0.0002138455,"domain_scores_codex":[0.9948684,0.000119852,0.001613627,0.0004468536,0.002144511,0.0008067439],"domain_scores_gemma":[0.9956295,0.001477228,0.001240766,0.0006669704,0.000611469,0.0003740324],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0009486331,0.0003268153,0.0002465563,0.0001854734,0.004106344,0.0001794659,0.0003136256,0.002602079,0.00154345,0.9842871,0.004724237,0.0005362158],"study_design_scores_gemma":[0.005281364,0.001840845,0.002102111,0.0003551086,0.005799051,0.000587182,0.004906031,0.911682,0.01072633,0.04673427,0.008845371,0.001140385],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9000549,0.0002651047,0.09734742,0.0003984758,0.0005975661,0.0000738223,0.0002060032,0.0000430965,0.001013626],"genre_scores_gemma":[0.9619069,0.00009179157,0.03448403,0.0004528914,0.001697813,0.00007488055,0.0001552355,0.0001277828,0.001008697],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.9375528,"threshold_uncertainty_score":0.9998664,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04402437712229683,"score_gpt":0.3046959379954423,"score_spread":0.2606715608731455,"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."}}