{"id":"W4367051676","doi":"10.3390/axioms12050422","title":"Norm of Hilbert Operator’s Commutants","year":2023,"lang":"en","type":"article","venue":"Axioms","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Operator norm; Norm (philosophy); Pure mathematics; Operator (biology); Compact operator on Hilbert space; Operator theory; Compact operator; Hermitian adjoint; Hilbert space; Quasinormal operator; Algebra over a field; Finite-rank operator; Computer science; Banach space; Chemistry; Political 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":[0.0004057247,0.00009489545,0.0002122127,0.0000649624,0.00006107207,0.000009531991,0.0002235837,0.0000693273,0.0004088949],"category_scores_gemma":[0.0001798474,0.00007806761,0.00005364384,0.0003267,0.00008010954,0.00005414557,0.00009256649,0.0000929349,0.0007312647],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001425623,"about_ca_system_score_gemma":0.00003146167,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002582702,"about_ca_topic_score_gemma":0.00001558849,"domain_scores_codex":[0.9992475,0.00005227287,0.0002261516,0.0001148811,0.0001684933,0.0001906965],"domain_scores_gemma":[0.999243,0.0002266097,0.00004677163,0.0003724741,0.00005355051,0.00005757392],"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":[0.00003909829,0.000190541,0.001415115,0.0001493845,0.0001143719,0.00008619304,0.005367008,0.000005346084,0.01609392,0.9479929,0.02433171,0.004214413],"study_design_scores_gemma":[0.007819581,0.001105811,0.0179928,0.0008870174,0.0003463726,0.0001946434,0.01422129,0.005170591,0.3531546,0.5412027,0.05509004,0.002814534],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9851548,0.00003830286,0.0002600961,0.0002127105,0.0001836776,0.0001221477,0.00002332302,0.0001445473,0.01386039],"genre_scores_gemma":[0.9970186,0.00002024123,0.0001690013,0.0001297791,0.00004575871,0.000009539744,0.000007228306,0.00002574811,0.002574059],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4067902,"threshold_uncertainty_score":0.9399173,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07335586851290461,"score_gpt":0.3418744058676969,"score_spread":0.2685185373547923,"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."}}