{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002411016,0.0003901692,0.0003941968,0.00131246,0.001211203,0.001581177,0.0007847213,0.000580259,0.00338722],"category_scores_gemma":[0.003705372,0.000187593,0.0005503406,0.0004377945,0.003725947,0.003417745,0.001125176,0.001347558,0.0003990725],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00054999,"about_ca_system_score_gemma":0.0006639197,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004040764,"about_ca_topic_score_gemma":0.0003197247,"domain_scores_codex":[0.9982424,0.0003779353,0.0001590001,0.0003278002,0.0006927786,0.0002001457],"domain_scores_gemma":[0.9971197,0.0009050474,0.0003757961,0.000261704,0.0009613666,0.0003764069],"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":[0.00002679523,0.00001795327,0.0005493293,0.00002810866,0.000005465907,0.000097306,0.0003696778,0.0002769501,0.003987943,0.990675,0.0002590401,0.003706354],"study_design_scores_gemma":[0.00002343934,0.0001008984,0.001584129,0.00002228959,0.00001292366,0.0007014639,0.0006032154,0.01017075,0.0108984,0.9685679,0.007264768,0.0000498171],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7153451,0.0005741918,0.2251667,0.0007673581,0.000373376,0.00005903896,0.0001366957,0.0001340462,0.05744347],"genre_scores_gemma":[0.9583007,0.0002962032,0.03145444,0.0001431187,0.0002070859,0.00006953663,0.0001576178,0.00007024843,0.009301042],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00338722,"threshold_uncertainty_score":0.01275086,"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."}}