{"id":"W2070277070","doi":"10.1007/bf01202106","title":"Trace class norm inequalities for localization operators","year":2001,"lang":"en","type":"article","venue":"Integral Equations and Operator Theory","topic":"Mathematical Analysis and Transform Methods","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"ca_institutions":"York University","funders":"","keywords":"Trace class; Mathematics; TRACE (psycholinguistics); Norm (philosophy); Class (philosophy); Inequality; Nuclear operator; Pseudodifferential operators; Operator norm; Pure mathematics; Algebra over a field; Operator theory; Mathematical analysis; Finite-rank operator; Hilbert space; Computer science; Epistemology; Banach space; Artificial intelligence","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":[0.001494403,0.0001918238,0.0003376704,0.000108294,0.0003113663,0.0001316936,0.0001220899,0.0001046399,0.0004149342],"category_scores_gemma":[0.001189343,0.000132361,0.0001339844,0.0002448512,0.0001052104,0.0002188645,0.00001770693,0.0001127682,0.000009333978],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002949863,"about_ca_system_score_gemma":0.00004141789,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001819254,"about_ca_topic_score_gemma":0.0000820583,"domain_scores_codex":[0.9987055,0.0001980918,0.0004860464,0.0002273886,0.0001603878,0.0002225956],"domain_scores_gemma":[0.9978817,0.001510606,0.00006334911,0.0002106983,0.0002269944,0.0001066347],"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":[0.00003599405,0.0001016529,0.00005700307,0.00007341945,0.00006115832,7.953129e-7,0.001079291,0.00002876602,0.0001258821,0.9856563,0.000101211,0.01267857],"study_design_scores_gemma":[0.0005291157,0.0001119028,0.000008026891,0.0000673796,0.0001551216,0.000006037129,0.002878752,0.0439548,0.001278397,0.939433,0.01132311,0.0002542983],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.06173758,0.0001999026,0.9332281,0.0003711511,0.00007066969,0.0003951515,0.00003434423,0.00006722813,0.003895811],"genre_scores_gemma":[0.95783,0.00008815595,0.03720701,0.000393903,0.0001259882,0.000225343,0.00002772779,0.00003913357,0.004062756],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8960924,"threshold_uncertainty_score":0.5397527,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07865736826084292,"score_gpt":0.3676027753959348,"score_spread":0.2889454071350919,"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."}}