{"id":"W2084477077","doi":"10.1016/j.laa.2007.09.001","title":"Von Neumann’s inequality for noncommuting contractions","year":2007,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"Algebraic and Geometric Analysis","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Hilbert space; Bounded function; Von Neumann architecture; Inequality; Pure mathematics; Polynomial; Norm (philosophy); Bounded operator; Von Neumann's theorem; Operator (biology); Discrete mathematics; Mathematical analysis; Multiplication operator","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":[0.004410515,0.0009131365,0.001548029,0.002557876,0.002915049,0.003623951,0.001846494,0.002340135,0.008382764],"category_scores_gemma":[0.009655369,0.0006800295,0.001089148,0.002184981,0.006846079,0.01210633,0.00348532,0.005357029,0.0008374123],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002015729,"about_ca_system_score_gemma":0.001201506,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001392964,"about_ca_topic_score_gemma":0.001271623,"domain_scores_codex":[0.9980894,0.0006485802,0.0001083874,0.0003801339,0.0005475546,0.000225985],"domain_scores_gemma":[0.9945483,0.003646633,0.0002515548,0.0004271683,0.0007595254,0.00036679],"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":[0.000006440992,0.000004599861,0.00003059392,0.00001123433,0.000002540045,0.00002510678,0.00007281731,0.0001333608,0.0002032582,0.9984263,0.0003515658,0.0007320856],"study_design_scores_gemma":[0.000002669999,0.000002273232,0.00005744437,0.000003382239,0.000001678706,0.00001816822,0.00001842538,0.001006869,0.00006695687,0.9980001,0.0008174343,0.000004564706],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2294433,0.006142162,0.4002578,0.01837914,0.001801056,0.00008109939,0.0006532212,0.0001815243,0.3430608],"genre_scores_gemma":[0.9029661,0.003849937,0.04430759,0.002179218,0.002768579,0.000235041,0.0005257712,0.0001532532,0.04301453],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008382764,"threshold_uncertainty_score":0.02804315,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05596850778788701,"score_gpt":0.3645976033239064,"score_spread":0.3086290955360194,"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."}}