{"id":"W2072929485","doi":"10.1016/j.jfa.2015.03.014","title":"Essential normality, essential norms and hyperrigidity","year":2015,"lang":"en","type":"preprint","venue":"Journal of Functional Analysis","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada; Israel Science Foundation; German-Israeli Foundation for Scientific Research and Development","keywords":"Mathematics; Noncommutative geometry; Combinatorics; Ball (mathematics); Norm (philosophy); Invariant (physics); Discrete mathematics; Algebra over a field; Pure mathematics; Mathematical analysis; Mathematical physics","routes":{"ca_aff":true,"ca_fund":true,"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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.002157264,0.000372914,0.001286201,0.001061641,0.0001628014,0.0002174344,0.0004486727,0.0003378403,0.0007042112],"category_scores_gemma":[0.0009830152,0.0002905937,0.0009821105,0.0007588233,0.0002024379,0.0003684523,0.0008997182,0.001604838,0.00001413376],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003113335,"about_ca_system_score_gemma":0.0007832178,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00006219136,"about_ca_topic_score_gemma":0.0001351327,"domain_scores_codex":[0.9957273,0.0002005445,0.001235853,0.0004200099,0.002084412,0.0003319068],"domain_scores_gemma":[0.99498,0.0003757205,0.001193802,0.0004807412,0.002534635,0.0004350494],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.009381718,0.01023165,0.1798713,0.00510023,0.2044193,0.002911583,0.003045222,0.3227437,0.01023669,0.06571068,0.1754073,0.01094051],"study_design_scores_gemma":[0.004839862,0.000586589,0.02963746,0.0002628764,0.0326189,0.001025222,0.0006347509,0.02464977,0.002536638,0.8971231,0.003998649,0.002086151],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9218587,0.0006063072,0.0747757,0.0007205633,0.001134209,0.0001707647,0.0001204256,0.00002750743,0.0005858106],"genre_scores_gemma":[0.9849573,0.0002133428,0.01070149,0.00004945874,0.002653845,0.000008998708,0.00008976637,0.00004528605,0.001280453],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.8314124,"threshold_uncertainty_score":0.9999546,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08014960596739469,"score_gpt":0.3728144135329458,"score_spread":0.2926648075655511,"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."}}