{"id":"https://openalex.org/W1982196010","doi":"https://doi.org/10.1155/2011/812680","title":"Spatial Numerical Range of Operators on Weighted Hardy Spaces","display_name":"Spatial Numerical Range of Operators on Weighted Hardy Spaces","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W1982196010","doi":"https://doi.org/10.1155/2011/812680","mag":"1982196010"},"language":"en","primary_location":{"id":"doi:10.1155/2011/812680","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2011/812680","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2011/812680.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/ijmms/2011/812680.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5087479539","display_name":"A. Abdollahi","orcid":"https://orcid.org/0000-0001-5855-2527"},"institutions":[{"id":"https://openalex.org/I166459259","display_name":"Shiraz University","ror":"https://ror.org/028qtbk54","country_code":"IR","type":"education","lineage":["https://openalex.org/I166459259"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Abdolaziz Abdollahi","raw_affiliation_strings":["Department of Mathematics, College of Sciences, Shiraz University, Shiraz 71454, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Sciences, Shiraz University, Shiraz 71454, Iran","institution_ids":["https://openalex.org/I166459259"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108029807","display_name":"Mohammad Taghi Heydari","orcid":"https://orcid.org/0000-0001-6949-4334"},"institutions":[{"id":"https://openalex.org/I166459259","display_name":"Shiraz University","ror":"https://ror.org/028qtbk54","country_code":"IR","type":"education","lineage":["https://openalex.org/I166459259"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Mohammad Taghi Heydari","raw_affiliation_strings":["Department of Mathematics, College of Sciences, Shiraz University, Shiraz 71454, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Sciences, Shiraz University, Shiraz 71454, Iran","institution_ids":["https://openalex.org/I166459259"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5087479539"],"corresponding_institution_ids":["https://openalex.org/I166459259"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09444749,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2011","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10884","display_name":"Holomorphic and Operator Theory","score":0.9998000264167786,"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/T10884","display_name":"Holomorphic and Operator Theory","score":0.9998000264167786,"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/T11049","display_name":"Advanced Harmonic Analysis Research","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/T11545","display_name":"Advanced Banach Space Theory","score":0.9961000084877014,"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/mathematics","display_name":"Mathematics","score":0.9050494432449341},{"id":"https://openalex.org/keywords/numerical-range","display_name":"Numerical range","score":0.8264236450195312},{"id":"https://openalex.org/keywords/hardy-space","display_name":"Hardy space","score":0.7838975191116333},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.6285648345947266},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.4814254939556122},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4745817184448242},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4065743386745453},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.38149744272232056},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.15317437052726746},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1238727867603302}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9050494432449341},{"id":"https://openalex.org/C193060811","wikidata":"https://www.wikidata.org/wiki/Q1579053","display_name":"Numerical range","level":2,"score":0.8264236450195312},{"id":"https://openalex.org/C42178598","wikidata":"https://www.wikidata.org/wiki/Q1585233","display_name":"Hardy space","level":2,"score":0.7838975191116333},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.6285648345947266},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.4814254939556122},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4745817184448242},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4065743386745453},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.38149744272232056},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.15317437052726746},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1238727867603302},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2011/812680","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2011/812680","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2011/812680.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:jijmms:812680","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/IJMMS/2011/812680.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"},{"id":"pmh:oai:doaj.org/article:a8d2b29d65b5456c9dd2896fd703c901","is_oa":true,"landing_page_url":"https://doaj.org/article/a8d2b29d65b5456c9dd2896fd703c901","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences, Vol 2011 (2011)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2011/812680","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2011/812680","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2011/812680.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1982196010.pdf","grobid_xml":"https://content.openalex.org/works/W1982196010.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W409772452","https://openalex.org/W1486267208","https://openalex.org/W1966208896","https://openalex.org/W1978979496","https://openalex.org/W1983115628","https://openalex.org/W2015151691","https://openalex.org/W2022800810","https://openalex.org/W2045034755","https://openalex.org/W2053241748","https://openalex.org/W2164757243","https://openalex.org/W2494779131","https://openalex.org/W4214812125","https://openalex.org/W4233948387"],"related_works":["https://openalex.org/W2095111894","https://openalex.org/W4305032514","https://openalex.org/W2086031978","https://openalex.org/W4377078138","https://openalex.org/W1529629204","https://openalex.org/W1978749467","https://openalex.org/W2759790499","https://openalex.org/W3094713621","https://openalex.org/W4309957374","https://openalex.org/W4387057911"],"abstract_inverted_index":{"We":[0,23],"consider":[1],"the":[2,27],"spatial":[3,28],"numerical":[4,18,29],"range":[5,19,30],"of":[6,17,20,31],"operators":[7,34],"on":[8,35],"weighted":[9,36],"Hardy":[10,37],"spaces":[11,38],"and":[12],"give":[13],"conditions":[14],"for":[15],"closedness":[16],"compact":[21],"operators.":[22],"also":[24],"prove":[25],"that":[26],"finite":[32],"rank":[33],"is":[39],"star":[40],"shaped;":[41],"though,":[42],"in":[43],"general,":[44],"it":[45],"does":[46],"not":[47],"need":[48],"to":[49],"be":[50],"convex.":[51]},"counts_by_year":[],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
