{"id":"W2059606694","doi":"10.1016/j.jfa.2012.02.005","title":"Approximate identities in approximate amenability","year":2012,"lang":"en","type":"article","venue":"Journal of Functional Analysis","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Manitoba","funders":"","keywords":"Mathematics; Bounded function; Banach algebra; Ideal (ethics); Class (philosophy); Approximation property; Pure mathematics; Banach space; Discrete mathematics; Algebra over a field; Mathematical analysis; Computer science","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":[0.002497063,0.0001453822,0.0005378709,0.0008893822,0.00007869622,0.00004750934,0.0001902498,0.00006370102,0.00089766],"category_scores_gemma":[0.000828561,0.0001118471,0.0004342756,0.001461386,0.00008435392,0.0008910728,0.00006892546,0.0003832698,0.00001517257],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002901497,"about_ca_system_score_gemma":0.00006945387,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000007111775,"about_ca_topic_score_gemma":0.0000164403,"domain_scores_codex":[0.9975919,0.0001849331,0.0008091633,0.0001367851,0.0009077172,0.0003695475],"domain_scores_gemma":[0.9983509,0.000413841,0.0003856304,0.0002390526,0.0004383718,0.0001721715],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"observational","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0006561667,0.002589203,0.899001,0.0003370352,0.004964872,0.00005195205,0.001581452,0.01082205,0.003524006,0.07211979,0.002827209,0.001525261],"study_design_scores_gemma":[0.003079557,0.0002991474,0.3322368,0.00008513816,0.003518611,0.0003142572,0.004422078,0.01456889,0.004307097,0.6352825,0.0009483282,0.0009376272],"study_design_candidate":"observational","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9211245,0.0003515755,0.07736913,0.0002105502,0.0001932113,0.00009334378,0.000007464111,0.00001414704,0.0006361311],"genre_scores_gemma":[0.9890308,0.00003358272,0.009940633,0.00003558499,0.0003038438,0.000009614273,0.000004104219,0.00001488368,0.0006269528],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.5667642,"threshold_uncertainty_score":0.9828748,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0701164436028527,"score_gpt":0.3545207605341776,"score_spread":0.284404316931325,"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."}}