{"id":"https://openalex.org/W2056228690","doi":"https://doi.org/10.1112/jlms/jdq100","title":"Curves in Banach spaces which allow a <i>C</i> <sup>2</sup>-parameterization","display_name":"Curves in Banach spaces which allow a <i>C</i> <sup>2</sup>-parameterization","publication_year":2011,"publication_date":"2011-04-05","ids":{"openalex":"https://openalex.org/W2056228690","doi":"https://doi.org/10.1112/jlms/jdq100","mag":"2056228690"},"language":"en","primary_location":{"id":"doi:10.1112/jlms/jdq100","is_oa":false,"landing_page_url":"https://doi.org/10.1112/jlms/jdq100","pdf_url":null,"source":{"id":"https://openalex.org/S4210207695","display_name":"Journal of the London Mathematical Society","issn_l":"0024-6107","issn":["0024-6107","1469-7750"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the London Mathematical Society","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/math/0603735","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111495690","display_name":"Jakub Duda","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Jakub Duda","raw_affiliation_strings":["PIRA Energy Group, 3 Park Ave FL 26, New York, NY 10016, USA, Present address:, 31-79 35th St, Astoria, New York, NY 11106, USA"],"affiliations":[{"raw_affiliation_string":"PIRA Energy Group, 3 Park Ave FL 26, New York, NY 10016, USA, Present address:, 31-79 35th St, Astoria, New York, NY 11106, USA","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070153293","display_name":"Lud\u011bk Zaj\u0301\u0131\u010dek","orcid":"https://orcid.org/0000-0003-2765-7443"},"institutions":[{"id":"https://openalex.org/I21250087","display_name":"Charles University","ror":"https://ror.org/024d6js02","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21250087"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Lud\u011bk Zaj\u00ed\u010dek","raw_affiliation_strings":["Faculty of Mathematics and Physics, Charles University, Sokolovska\u0301 83, 186 75 Praha 8-Karli\u0301n, Czech Republic, [email protected]","Faculty of Mathematics and Physics, Charles University, Sokolovsk\u00e1 83, 186 75 Praha 8-Karl\u00edn, Czech Republic, zajicek@karlin.mff.cuni.cz"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Physics, Charles University, Sokolovska\u0301 83, 186 75 Praha 8-Karli\u0301n, Czech Republic, [email protected]","institution_ids":["https://openalex.org/I21250087"]},{"raw_affiliation_string":"Faculty of Mathematics and Physics, Charles University, Sokolovsk\u00e1 83, 186 75 Praha 8-Karl\u00edn, Czech Republic, zajicek@karlin.mff.cuni.cz","institution_ids":["https://openalex.org/I21250087"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5111495690"],"corresponding_institution_ids":[],"apc_list":{"value":3710,"currency":"USD","value_usd":3710},"apc_paid":null,"fwci":0.8608,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.69066995,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"83","issue":"3","first_page":"733","last_page":"754"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11545","display_name":"Advanced Banach Space Theory","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11545","display_name":"Advanced Banach Space Theory","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11777","display_name":"Fixed Point Theorems Analysis","score":0.9900000095367432,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12062","display_name":"Approximation Theory and Sequence Spaces","score":0.9711999893188477,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/banach-space","display_name":"Banach space","score":0.7969955801963806},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.7004323601722717},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.667453408241272},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6498748660087585},{"id":"https://openalex.org/keywords/parametrization","display_name":"Parametrization (atmospheric modeling)","score":0.6478543281555176},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5530949234962463},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5390744209289551},{"id":"https://openalex.org/keywords/derivative","display_name":"Derivative (finance)","score":0.44233018159866333},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4188457131385803},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.389290988445282},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3505503535270691},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16935208439826965},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09968715906143188},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.04212546348571777}],"concepts":[{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.7969955801963806},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.7004323601722717},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.667453408241272},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6498748660087585},{"id":"https://openalex.org/C202887219","wikidata":"https://www.wikidata.org/wiki/Q3895221","display_name":"Parametrization (atmospheric modeling)","level":3,"score":0.6478543281555176},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5530949234962463},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5390744209289551},{"id":"https://openalex.org/C111771559","wikidata":"https://www.wikidata.org/wiki/Q66295","display_name":"Derivative (finance)","level":2,"score":0.44233018159866333},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4188457131385803},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.389290988445282},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3505503535270691},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16935208439826965},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09968715906143188},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.04212546348571777},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C74902906","wikidata":"https://www.wikidata.org/wiki/Q1190858","display_name":"Radiative transfer","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1112/jlms/jdq100","is_oa":false,"landing_page_url":"https://doi.org/10.1112/jlms/jdq100","pdf_url":null,"source":{"id":"https://openalex.org/S4210207695","display_name":"Journal of the London Mathematical Society","issn_l":"0024-6107","issn":["0024-6107","1469-7750"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the London Mathematical Society","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:math/0603735","is_oa":true,"landing_page_url":"http://arxiv.org/abs/math/0603735","pdf_url":"https://arxiv.org/pdf/math/0603735","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:math/0603735","is_oa":true,"landing_page_url":"http://arxiv.org/abs/math/0603735","pdf_url":"https://arxiv.org/pdf/math/0603735","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W610957754","https://openalex.org/W1523918473","https://openalex.org/W1570833651","https://openalex.org/W1580579642","https://openalex.org/W1598564360","https://openalex.org/W1599196702","https://openalex.org/W1975305329","https://openalex.org/W2062721377","https://openalex.org/W2072973355","https://openalex.org/W2076967582","https://openalex.org/W2094793033","https://openalex.org/W2147990333","https://openalex.org/W2331199750","https://openalex.org/W2602346821","https://openalex.org/W2951827636","https://openalex.org/W2952130071","https://openalex.org/W2955198501","https://openalex.org/W4251388285","https://openalex.org/W4251479607","https://openalex.org/W4292159986","https://openalex.org/W4292508250"],"related_works":["https://openalex.org/W2153421756","https://openalex.org/W2054489697","https://openalex.org/W2077818434","https://openalex.org/W2361081803","https://openalex.org/W2036241269","https://openalex.org/W2109057766","https://openalex.org/W4250375811","https://openalex.org/W2078644396","https://openalex.org/W2026930022","https://openalex.org/W2125213988"],"abstract_inverted_index":{"We":[0],"give":[1],"a":[2,15,20,33,60],"complete":[3],"characterization":[4,34],"of":[5,57],"those":[6],"f:":[7],"[0,":[8],"1]":[9],"\u2192":[10],"X":[11,13,30,43],"(where":[12],"is":[14,35,64],"Banach":[16],"space":[17],"that":[18,24],"has":[19],"Fr\u00e9chet":[21],"smooth":[22],"norm)":[23],"allow":[25],"an":[26],"equivalent":[27],"C2-parameterization.":[28],"For":[29],"=":[31,44],"\u211d,":[32],"well":[36],"known.":[37],"However,":[38],"even":[39],"in":[40],"the":[41,53],"case":[42,56],"\u211d2,":[45],"several":[46],"quite":[47],"new":[48],"ideas":[49],"are":[50],"needed.":[51],"Moreover,":[52],"very":[54],"close":[55],"parameterizations":[58],"with":[59],"bounded":[61],"second":[62],"derivative":[63],"solved.":[65]},"counts_by_year":[{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-03-10T16:38:18.471706","created_date":"2016-06-24T00:00:00"}