{"id":"W4321011899","doi":"10.48550/arxiv.2302.06720","title":"Summability and duality","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs","keywords":"Mathematics; Variety (cybernetics); Duality (order theory); Banach space; Space (punctuation); Lp space; Pure mathematics; Function space; Lebesgue integration; Convergence (economics); Dual (grammatical number); Fréchet space; Function (biology); Hardy space; Interpolation space; Functional analysis; Computer science","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.006050687,0.0007879497,0.0008835319,0.002025206,0.001753554,0.002958744,0.001440288,0.001068158,0.005424172],"category_scores_gemma":[0.009230427,0.0004368671,0.001616286,0.0008069666,0.007211088,0.005643251,0.006419636,0.003841411,0.0009960163],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001748393,"about_ca_system_score_gemma":0.0009929565,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008895221,"about_ca_topic_score_gemma":0.0006608221,"domain_scores_codex":[0.9960945,0.001386781,0.0002353012,0.0007827558,0.001216866,0.0002837481],"domain_scores_gemma":[0.9951268,0.002444402,0.0003941673,0.0007422402,0.0009334555,0.0003588465],"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":[0.000006730236,0.00001503968,0.0002128714,0.00004779269,0.000008531695,0.00004170274,0.000198862,0.0008572279,0.0008225818,0.9930568,0.0003559671,0.00437603],"study_design_scores_gemma":[0.000007809016,0.00004435181,0.0004791851,0.00006901158,0.0000143462,0.0002590459,0.0001605789,0.01827911,0.003131787,0.9625986,0.01494267,0.0000134937],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02675609,0.001834461,0.875397,0.001893931,0.0003886145,0.00007505502,0.000113672,0.0001360146,0.09340523],"genre_scores_gemma":[0.6992748,0.002185591,0.2434141,0.001711017,0.00121274,0.0007849964,0.000373689,0.00042695,0.05061615],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006050687,"threshold_uncertainty_score":0.03199947,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2099336692785471,"score_gpt":0.2599209415611137,"score_spread":0.04998727228256658,"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."}}