{"id":"W2086150090","doi":"10.4153/cmb-2008-009-3","title":"Rearrangement-Invariant Functionals with Applications to Traces on Symmetrically Normed Ideals","year":2008,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":37,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"National Science Foundation","keywords":"Mathematics; Invariant (physics); Pure mathematics; Operator (biology); Functional analysis; Algebra over a field; Mathematical physics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009734718,0.0003916085,0.0005074247,0.001376394,0.0008003844,0.001266388,0.0006282916,0.0004896496,0.002423676],"category_scores_gemma":[0.002359526,0.00019698,0.0005155563,0.0005457574,0.003242156,0.001718389,0.002134248,0.0009718497,0.0002470608],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009751609,"about_ca_system_score_gemma":0.0005240684,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006415751,"about_ca_topic_score_gemma":0.0005202172,"domain_scores_codex":[0.9993871,0.0001788024,0.00004021969,0.00007873463,0.0002189609,0.00009611248],"domain_scores_gemma":[0.999088,0.000219353,0.0001209591,0.00009611744,0.0002204801,0.0002549988],"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":[0.00001880688,0.00001408304,0.0002521216,0.00002843687,0.000005416169,0.0001953024,0.0003166173,0.001953077,0.004716826,0.9875967,0.0001727111,0.00472979],"study_design_scores_gemma":[0.00001635744,0.0001119582,0.0005486569,0.00002711614,0.00001074596,0.0003938465,0.0004893494,0.03819618,0.008170802,0.9473486,0.004656049,0.00003038353],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6179782,0.000795118,0.3358272,0.001188477,0.000253074,0.00008064406,0.00008705717,0.0002986505,0.04349153],"genre_scores_gemma":[0.9682159,0.0002499574,0.02561678,0.00007625166,0.000100001,0.00003406201,0.00003121252,0.00004528049,0.005630505],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002423676,"threshold_uncertainty_score":0.00810802,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0524754353022596,"score_gpt":0.2689295676770113,"score_spread":0.2164541323747517,"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."}}