{"id":"W1800454265","doi":"10.1007/s00020-016-2329-7","title":"The Corona Problem for Kernel Multiplier Algebras","year":2016,"lang":"en","type":"article","venue":"Integral Equations and Operator Theory","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"McMaster University","funders":"Directorate for Mathematical and Physical Sciences; Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada","keywords":"Hilbert space; Pointwise; Multiplier (economics); Unit sphere; Bounded function; Toeplitz matrix; Reproducing kernel Hilbert space; Unit circle; Invertible matrix","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":[],"consensus_categories":[],"category_scores_codex":[0.001553665,0.0002042399,0.0002025408,0.00003943017,0.000689053,0.0001138105,0.0002562694,0.0001070704,0.0001805641],"category_scores_gemma":[0.001515217,0.00009235431,0.00009796044,0.00007649987,0.0003794334,0.0001634682,0.00006488682,0.0001161322,0.00006526193],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004855172,"about_ca_system_score_gemma":0.00008814548,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005315642,"about_ca_topic_score_gemma":0.00004251958,"domain_scores_codex":[0.9987147,0.0002034188,0.0003479058,0.0002715751,0.0001390237,0.0003233766],"domain_scores_gemma":[0.9950613,0.004182376,0.00007638565,0.0003547252,0.0002116365,0.0001135551],"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":[0.00009550069,0.00004131222,0.0000651216,0.000009735599,0.00005145946,7.628859e-7,0.000423729,2.832707e-7,0.002559242,0.9423594,0.001211592,0.05318184],"study_design_scores_gemma":[0.001052974,0.0001196255,0.00005602739,0.00007823994,0.00004704434,0.000006652273,0.001173109,0.0002274108,0.002053941,0.9725161,0.02243578,0.0002331014],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4241031,0.001298974,0.5593939,0.004840293,0.0006391524,0.002571835,0.0003085713,0.0002923735,0.006551754],"genre_scores_gemma":[0.982239,0.00007242002,0.006076077,0.0003332832,0.0001204739,0.0004442063,0.000004630511,0.00004663553,0.01066326],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.5581359,"threshold_uncertainty_score":0.5299708,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03770798720603306,"score_gpt":0.3058193506147232,"score_spread":0.2681113634086901,"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."}}