{"id":"https://openalex.org/W2908472875","doi":"https://doi.org/10.1007/s10444-020-09773-3","title":"Frames and weak frames for unbounded operators","display_name":"Frames and weak frames for unbounded operators","publication_year":2020,"publication_date":"2020-04-01","ids":{"openalex":"https://openalex.org/W2908472875","doi":"https://doi.org/10.1007/s10444-020-09773-3","mag":"2908472875"},"language":"en","primary_location":{"id":"doi:10.1007/s10444-020-09773-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-020-09773-3","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Computational Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1812.10699","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015147715","display_name":"Giorgia Bellomonte","orcid":"https://orcid.org/0000-0002-9506-3623"},"institutions":[{"id":"https://openalex.org/I900890020","display_name":"University of Palermo","ror":"https://ror.org/044k9ta02","country_code":"IT","type":"education","lineage":["https://openalex.org/I900890020"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Giorgia Bellomonte","raw_affiliation_strings":["Dipartimento di Matematica e Informatica, Universit\u00e0 degli Studi di Palermo, Via Archirafi 34, I-90123, Palermo, Italy","Dipartimento di Matematica e Informatica, Universit\u00e0 degli Studi di Palermo , Palermo, Italy"],"raw_orcid":"https://orcid.org/0000-0002-9506-3623","affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica e Informatica, Universit\u00e0 degli Studi di Palermo, Via Archirafi 34, I-90123, Palermo, Italy","institution_ids":["https://openalex.org/I900890020"]},{"raw_affiliation_string":"Dipartimento di Matematica e Informatica, Universit\u00e0 degli Studi di Palermo , Palermo, Italy","institution_ids":["https://openalex.org/I900890020"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029373422","display_name":"Rosario Corso","orcid":"https://orcid.org/0000-0001-9123-4977"},"institutions":[{"id":"https://openalex.org/I900890020","display_name":"University of Palermo","ror":"https://ror.org/044k9ta02","country_code":"IT","type":"education","lineage":["https://openalex.org/I900890020"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Rosario Corso","raw_affiliation_strings":["Dipartimento di Matematica e Informatica, Universit\u00e0 degli Studi di Palermo, Via Archirafi 34, I-90123, Palermo, Italy","Dipartimento di Matematica e Informatica, Universit\u00e0 degli Studi di Palermo , Palermo, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica e Informatica, Universit\u00e0 degli Studi di Palermo, Via Archirafi 34, I-90123, Palermo, Italy","institution_ids":["https://openalex.org/I900890020"]},{"raw_affiliation_string":"Dipartimento di Matematica e Informatica, Universit\u00e0 degli Studi di Palermo , Palermo, Italy","institution_ids":["https://openalex.org/I900890020"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5015147715"],"corresponding_institution_ids":["https://openalex.org/I900890020"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.2797,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.41322751,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"46","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.9345999956130981,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/bessel-function","display_name":"Bessel function","score":0.7050356864929199},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.6303243041038513},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6207258105278015},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.6200021505355835},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6031724214553833},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5963966250419617},{"id":"https://openalex.org/keywords/bounded-operator","display_name":"Bounded operator","score":0.5365488529205322},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5060057044029236},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5000450611114502},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4655996263027191},{"id":"https://openalex.org/keywords/linear-operators","display_name":"Linear operators","score":0.4243251085281372},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.38609278202056885},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.37537258863449097},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3072693347930908}],"concepts":[{"id":"https://openalex.org/C107706756","wikidata":"https://www.wikidata.org/wiki/Q219637","display_name":"Bessel function","level":2,"score":0.7050356864929199},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.6303243041038513},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6207258105278015},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.6200021505355835},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6031724214553833},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5963966250419617},{"id":"https://openalex.org/C175454919","wikidata":"https://www.wikidata.org/wiki/Q2342396","display_name":"Bounded operator","level":3,"score":0.5365488529205322},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5060057044029236},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5000450611114502},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4655996263027191},{"id":"https://openalex.org/C3019018024","wikidata":"https://www.wikidata.org/wiki/Q207643","display_name":"Linear operators","level":3,"score":0.4243251085281372},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38609278202056885},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.37537258863449097},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3072693347930908},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s10444-020-09773-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-020-09773-3","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Computational Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1812.10699","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1812.10699","pdf_url":"https://arxiv.org/pdf/1812.10699","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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"},{"id":"pmh:oai:iris.unipa.it:10447/412648","is_oa":true,"landing_page_url":"http://hdl.handle.net/10447/412648","pdf_url":"https://iris.unipa.it/bitstream/10447/412648/5/post_print_bellomonte_handle_10447_412648.pdf","source":{"id":"https://openalex.org/S4306401065","display_name":"Nova Science Publishers (Nova Science Publishers, Inc.)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"mag:2908472875","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1812.10699.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1812.10699","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1812.10699","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1812.10699","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1812.10699","pdf_url":"https://arxiv.org/pdf/1812.10699","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":[{"id":"https://openalex.org/F4320311030","display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\"","ror":"https://ror.org/01vx64p53"},{"id":"https://openalex.org/F4320333369","display_name":"Gruppo Nazionale per l'Analisi Matematica, la Probabilit\u00e0 e le loro Applicazioni","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W227029647","https://openalex.org/W269322745","https://openalex.org/W392128032","https://openalex.org/W602823632","https://openalex.org/W1485616958","https://openalex.org/W1486874193","https://openalex.org/W1605417594","https://openalex.org/W1625770844","https://openalex.org/W1629220451","https://openalex.org/W1694357385","https://openalex.org/W1968164705","https://openalex.org/W1970382663","https://openalex.org/W1975334534","https://openalex.org/W2012754903","https://openalex.org/W2025256645","https://openalex.org/W2040884834","https://openalex.org/W2046374363","https://openalex.org/W2050507755","https://openalex.org/W2057935334","https://openalex.org/W2078764331","https://openalex.org/W2087377426","https://openalex.org/W2119337797","https://openalex.org/W2172016394","https://openalex.org/W2332506239","https://openalex.org/W2470951207","https://openalex.org/W2531719616","https://openalex.org/W2544623191","https://openalex.org/W2588752331","https://openalex.org/W2604940623","https://openalex.org/W2768785052","https://openalex.org/W2788353195","https://openalex.org/W2949785670","https://openalex.org/W2962738869","https://openalex.org/W2964081392","https://openalex.org/W2992962973","https://openalex.org/W3101344335","https://openalex.org/W3105721998","https://openalex.org/W3106541175","https://openalex.org/W4206562876","https://openalex.org/W4292170079"],"related_works":["https://openalex.org/W816816627","https://openalex.org/W2950325196","https://openalex.org/W2116669647","https://openalex.org/W224516152","https://openalex.org/W2964206711","https://openalex.org/W2963171997","https://openalex.org/W2385087725","https://openalex.org/W10289378","https://openalex.org/W2000615242","https://openalex.org/W2755190989","https://openalex.org/W2331237731","https://openalex.org/W2154499848","https://openalex.org/W2105425976","https://openalex.org/W3129754220","https://openalex.org/W1973843571","https://openalex.org/W2749223274","https://openalex.org/W2163791562","https://openalex.org/W2145871725","https://openalex.org/W1827337447","https://openalex.org/W2144189544"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2025-10-10T00:00:00"}