{"id":"W2013263425","doi":"10.1016/j.laa.2010.08.026","title":"Product numerical range in a space with tensor product structure","year":2010,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"Quantum Mechanics and Non-Hermitian Physics","field":"Physics and Astronomy","cited_by":27,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Numerical range; Mathematics; Tensor product; Product (mathematics); Minkowski space; Hilbert space; Range (aeronautics); Hermitian matrix; Numerical analysis; Mathematical analysis; Tensor product of Hilbert spaces; Cartesian tensor; Pure mathematics; Tensor contraction; Tensor field; Tensor density; Geometry; Exact solutions in general relativity","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":[0.001503253,0.0006233419,0.0008089673,0.002295411,0.001283538,0.00277071,0.001068869,0.0009472435,0.005533934],"category_scores_gemma":[0.003333818,0.0004109759,0.0006878102,0.001446089,0.004040721,0.008158663,0.002743234,0.00190665,0.000776117],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006201867,"about_ca_system_score_gemma":0.0004629578,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004085943,"about_ca_topic_score_gemma":0.0003671107,"domain_scores_codex":[0.9988318,0.000315846,0.0000864059,0.000224831,0.0004069859,0.0001340808],"domain_scores_gemma":[0.9978199,0.0008360807,0.0003165613,0.000223612,0.0004605936,0.0003432602],"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":[0.00001897525,0.000013701,0.00008893618,0.00002039396,0.000003840652,0.00005928021,0.0001192961,0.0005632968,0.0008099984,0.9959793,0.0002429339,0.002080147],"study_design_scores_gemma":[0.000008060421,0.00003670326,0.000137154,0.000008580749,0.000006671703,0.0002264955,0.00005900199,0.008557194,0.0009971592,0.9882041,0.001741645,0.00001707769],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3790133,0.002124897,0.5317224,0.001833162,0.0004163853,0.00004818379,0.0002979128,0.0005173768,0.08402647],"genre_scores_gemma":[0.9239396,0.0006060079,0.05520926,0.0003023751,0.0004849261,0.00005025681,0.0001596726,0.0001846833,0.01906326],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005533934,"threshold_uncertainty_score":0.01851285,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.006069675421957675,"score_gpt":0.2310789990948051,"score_spread":0.2250093236728474,"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."}}