{"id":"W2064017439","doi":"10.1016/s0022-1236(02)00121-0","title":"Ideals with bounded approximate identities in Fourier algebras","year":2003,"lang":"en","type":"article","venue":"Journal of Functional Analysis","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":67,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Alberta; University of Waterloo","funders":"","keywords":"Mathematics; Bounded function; Nilpotent; Locally compact group; Bounded operator; Norm (philosophy); Pure mathematics; Locally nilpotent; Locally compact space; Fourier transform; Operator norm; Discrete mathematics; Nilpotent group; Mathematical analysis","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004194858,0.001001783,0.001479002,0.003790346,0.003575695,0.00510373,0.001786407,0.001761141,0.006688712],"category_scores_gemma":[0.009875686,0.0009952361,0.001657398,0.001836188,0.005969594,0.01205846,0.004174738,0.004019495,0.0008194325],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001727501,"about_ca_system_score_gemma":0.001115505,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00114851,"about_ca_topic_score_gemma":0.001215921,"domain_scores_codex":[0.9975163,0.0006843368,0.0001621502,0.0002770704,0.0009173297,0.0004427905],"domain_scores_gemma":[0.9945112,0.002268791,0.0006224313,0.0005752383,0.0009916787,0.001030581],"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":[0.00002114021,0.00001512036,0.00009077222,0.000008920174,0.000004119915,0.00004429567,0.0001189129,0.0002166869,0.0002450403,0.9981957,0.0001767761,0.0008626285],"study_design_scores_gemma":[0.00001372012,0.0000133075,0.0000986781,0.00000630558,0.000006930253,0.000111734,0.0001026037,0.003864279,0.0003020777,0.9948119,0.0006578399,0.00001066357],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.431619,0.001106071,0.4692622,0.002341366,0.0007597705,0.0001262677,0.0002602638,0.0005097886,0.09401525],"genre_scores_gemma":[0.9334287,0.0004905843,0.04444598,0.0003597025,0.0007517535,0.00009737997,0.0002554516,0.0001297191,0.02004082],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006688712,"threshold_uncertainty_score":0.022376,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04410240259231034,"score_gpt":0.3193777601696668,"score_spread":0.2752753575773565,"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."}}