{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.004562474,0.001504719,0.001370984,0.003394326,0.001657851,0.003849455,0.002151126,0.002343468,0.006642214],"category_scores_gemma":[0.01343752,0.0005217223,0.001379933,0.002155863,0.005293643,0.01290396,0.004018587,0.007232921,0.0008028208],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002969056,"about_ca_system_score_gemma":0.001074288,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002169703,"about_ca_topic_score_gemma":0.001913658,"domain_scores_codex":[0.9984134,0.0005619335,0.00007201801,0.0002450459,0.0004787208,0.0002288409],"domain_scores_gemma":[0.9918529,0.005252972,0.0005621222,0.0003784081,0.001298436,0.0006550787],"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":[0.00002438917,0.0000130257,0.00006833403,0.00003573054,0.000006814351,0.00003916347,0.0001320338,0.0007152547,0.0007523664,0.994409,0.0008173246,0.002986603],"study_design_scores_gemma":[0.000007139494,0.00001021993,0.00008084581,0.0000138924,0.000006328704,0.00003952367,0.00005910255,0.0123481,0.0003216341,0.9857518,0.001352176,0.00000928848],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1043333,0.004457048,0.7715365,0.008319479,0.0008365907,0.00005974709,0.0003558451,0.0003453353,0.1097563],"genre_scores_gemma":[0.8247064,0.006909934,0.09821258,0.002416409,0.002264905,0.0003377307,0.000858537,0.0006312003,0.06366227],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006642214,"threshold_uncertainty_score":0.02412891,"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."}}