{"id":"W1986869614","doi":"10.1007/s00208-009-0441-6","title":"Smooth extensions of functions on separable Banach spaces","year":2009,"lang":"de","type":"article","venue":"Mathematische Annalen","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Northern British Columbia; Thompson Rivers University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Separable space; Banach space; Extension (predicate logic); Subspace topology; Pure mathematics; Dual (grammatical number); Space (punctuation); Function (biology); Banach manifold; Discrete mathematics; Combinatorics; Mathematical analysis; Lp space","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","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.001109012,0.0007570633,0.001329339,0.0004627648,0.0003707153,0.00008281644,0.0006255308,0.0003768226,0.001747335],"category_scores_gemma":[0.001226717,0.0006860493,0.0005042719,0.0007695896,0.0002882123,0.0003609305,0.0001301227,0.0007443857,0.003163922],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009954316,"about_ca_system_score_gemma":0.0001422635,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001287082,"about_ca_topic_score_gemma":0.0000117082,"domain_scores_codex":[0.9960093,0.000286469,0.001139523,0.0007548016,0.0008853124,0.0009245268],"domain_scores_gemma":[0.995128,0.001227236,0.0009609732,0.002007853,0.0003588565,0.0003171117],"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":[0.0005112019,0.005565455,0.00006976477,0.001563663,0.000950939,0.0001281276,0.007043428,0.001470848,0.01100242,0.6397403,0.3156802,0.01627366],"study_design_scores_gemma":[0.002126523,0.002504355,0.0007568087,0.004102288,0.00183899,0.00005214586,0.003756206,0.003081148,0.0144668,0.8488459,0.1166228,0.001846068],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4281114,0.04193557,0.1439519,0.02439941,0.003216746,0.006915255,0.001480592,0.001996449,0.3479927],"genre_scores_gemma":[0.8242651,0.001966877,0.07214712,0.0013744,0.001132772,0.00009900489,0.0000999232,0.0003688584,0.09854589],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3961537,"threshold_uncertainty_score":0.999559,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03720656919139473,"score_gpt":0.3138761362610902,"score_spread":0.2766695670696955,"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."}}