Publication Information

{'id': 'https://openalex.org/W1974453418', 'doi': 'https://doi.org/10.3318/pria.2008.108.1.81', 'title': 'DRAZIN INVERSES IN JÖRGENS ALGEBRAS OF BOUNDED LINEAR OPERATORS', 'display_name': 'DRAZIN INVERSES IN JÖRGENS ALGEBRAS OF BOUNDED LINEAR OPERATORS', 'publication_year': 2008, 'publication_date': '2008-01-01', 'ids': {'openalex': 'https://openalex.org/W1974453418', 'doi': 'https://doi.org/10.3318/pria.2008.108.1.81', 'mag': '1974453418'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.3318/pria.2008.108.1.81', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4210188988', 'display_name': 'Mathematical Proceedings of the Royal Irish Academy', 'issn_l': '1393-7197', 'issn': ['1393-7197', '2009-0021'], 'is_oa': False, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/P4310315400', 'host_organization_name': 'Royal Irish Academy', 'host_organization_lineage': ['https://openalex.org/P4310315400'], 'host_organization_lineage_names': ['Royal Irish Academy'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': False, 'oa_status': 'closed', 'oa_url': None, 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5047924632', 'display_name': 'Lisa A. Oberbroeckling', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I165556055', 'display_name': 'Loyola University Maryland', 'ror': 'https://ror.org/01by1wp65', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I165556055']}], 'countries': ['US'], 'is_corresponding': True, 'raw_author_name': 'Lisa A. Oberbroeckling', 'raw_affiliation_strings': ['Loyola University, Maryland'], 'affiliations': [{'raw_affiliation_string': 'Loyola University, Maryland', 'institution_ids': ['https://openalex.org/I165556055']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': ['https://openalex.org/A5047924632'], 'corresponding_institution_ids': ['https://openalex.org/I165556055'], 'apc_list': None, 'apc_paid': None, 'fwci': 0.0, 'has_fulltext': False, 'cited_by_count': 0, 'citation_normalized_percentile': {'value': 0.0, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 0, 'max': 63}, 'biblio': {'volume': '108', 'issue': '1', 'first_page': '81', 'last_page': '87'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10792', 'display_name': 'Matrix Theory and Algorithms', 'score': 0.9997, 'subfield': {'id': 'https://openalex.org/subfields/1703', 'display_name': 'Computational Theory and Mathematics'}, 'field': {'id': 'https://openalex.org/fields/17', 'display_name': 'Computer Science'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, 'topics': [{'id': 'https://openalex.org/T10792', 'display_name': 'Matrix Theory and Algorithms', 'score': 0.9997, 'subfield': {'id': 'https://openalex.org/subfields/1703', 'display_name': 'Computational Theory and Mathematics'}, 'field': {'id': 'https://openalex.org/fields/17', 'display_name': 'Computer Science'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T11022', 'display_name': 'Spectral Theory in Mathematical Physics', 'score': 0.9997, '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/T11673', 'display_name': 'Advanced Topics in Algebra', 'score': 0.9997, 'subfield': {'id': 'https://openalex.org/subfields/2602', 'display_name': 'Algebra and Number Theory'}, '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-algebra', 'display_name': 'Banach algebra', 'score': 0.75808465}, {'id': 'https://openalex.org/keywords/drazin-inverse', 'display_name': 'Drazin inverse', 'score': 0.7569932}, {'id': 'https://openalex.org/keywords/operator', 'display_name': 'Operator (biology)', 'score': 0.54781276}, {'id': 'https://openalex.org/keywords/linear-operators', 'display_name': 'Linear operators', 'score': 0.5353416}, {'id': 'https://openalex.org/keywords/operator-algebra', 'display_name': 'Operator algebra', 'score': 0.44335493}], 'concepts': [{'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.8235818}, {'id': 'https://openalex.org/C2781106287', 'wikidata': 'https://www.wikidata.org/wiki/Q806066', 'display_name': 'Banach algebra', 'level': 3, 'score': 0.75808465}, {'id': 'https://openalex.org/C2777795832', 'wikidata': 'https://www.wikidata.org/wiki/Q4521948', 'display_name': 'Drazin inverse', 'level': 3, 'score': 0.7569932}, {'id': 'https://openalex.org/C34388435', 'wikidata': 'https://www.wikidata.org/wiki/Q2267362', 'display_name': 'Bounded function', 'level': 2, 'score': 0.74257964}, {'id': 'https://openalex.org/C175454919', 'wikidata': 'https://www.wikidata.org/wiki/Q2342396', 'display_name': 'Bounded operator', 'level': 3, 'score': 0.65162337}, {'id': 'https://openalex.org/C97137487', 'wikidata': 'https://www.wikidata.org/wiki/Q729138', 'display_name': 'Integer (computer science)', 'level': 2, 'score': 0.5502812}, {'id': 'https://openalex.org/C17020691', 'wikidata': 'https://www.wikidata.org/wiki/Q139677', 'display_name': 'Operator (biology)', 'level': 5, 'score': 0.54781276}, {'id': 'https://openalex.org/C3019018024', 'wikidata': 'https://www.wikidata.org/wiki/Q207643', 'display_name': 'Linear operators', 'level': 3, 'score': 0.5353416}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.51585907}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.5027578}, {'id': 'https://openalex.org/C99392333', 'wikidata': 'https://www.wikidata.org/wiki/Q5450385', 'display_name': 'Finite-rank operator', 'level': 3, 'score': 0.49473998}, {'id': 'https://openalex.org/C79013869', 'wikidata': 'https://www.wikidata.org/wiki/Q1780743', 'display_name': 'Compact operator', 'level': 3, 'score': 0.48337334}, {'id': 'https://openalex.org/C90673727', 'wikidata': 'https://www.wikidata.org/wiki/Q901718', 'display_name': 'Product (mathematics)', 'level': 2, 'score': 0.4501743}, {'id': 'https://openalex.org/C191413488', 'wikidata': 'https://www.wikidata.org/wiki/Q1892554', 'display_name': 'Operator algebra', 'level': 2, 'score': 0.44335493}, {'id': 'https://openalex.org/C207467116', 'wikidata': 'https://www.wikidata.org/wiki/Q4385666', 'display_name': 'Inverse', 'level': 2, 'score': 0.43291518}, {'id': 'https://openalex.org/C176691602', 'wikidata': 'https://www.wikidata.org/wiki/Q7097841', 'display_name': 'Operator space', 'level': 4, 'score': 0.43046483}, {'id': 'https://openalex.org/C132954091', 'wikidata': 'https://www.wikidata.org/wiki/Q194397', 'display_name': 'Banach space', 'level': 2, 'score': 0.375261}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.09736645}, {'id': 'https://openalex.org/C2778029271', 'wikidata': 'https://www.wikidata.org/wiki/Q5421931', 'display_name': 'Extension (predicate logic)', 'level': 2, 'score': 0.080161005}, {'id': 'https://openalex.org/C185592680', 'wikidata': 'https://www.wikidata.org/wiki/Q2329', 'display_name': 'Chemistry', 'level': 0, 'score': 0.055795014}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.05305493}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, '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/C158448853', 'wikidata': 'https://www.wikidata.org/wiki/Q425218', 'display_name': 'Repressor', 'level': 4, 'score': 0.0}, {'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/C104317684', 'wikidata': 'https://www.wikidata.org/wiki/Q7187', 'display_name': 'Gene', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C199360897', 'wikidata': 'https://www.wikidata.org/wiki/Q9143', 'display_name': 'Programming language', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.3318/pria.2008.108.1.81', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4210188988', 'display_name': 'Mathematical Proceedings of the Royal Irish Academy', 'issn_l': '1393-7197', 'issn': ['1393-7197', '2009-0021'], 'is_oa': False, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/P4310315400', 'host_organization_name': 'Royal Irish Academy', 'host_organization_lineage': ['https://openalex.org/P4310315400'], 'host_organization_lineage_names': ['Royal Irish Academy'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 10, 'referenced_works': ['https://openalex.org/W1503134271', 'https://openalex.org/W1828825926', 'https://openalex.org/W1966996338', 'https://openalex.org/W1977614362', 'https://openalex.org/W2003137566', 'https://openalex.org/W2011347541', 'https://openalex.org/W2099159640', 'https://openalex.org/W3106701453', 'https://openalex.org/W638974673', 'https://openalex.org/W925338039'], 'related_works': ['https://openalex.org/W4302143879', 'https://openalex.org/W4231255511', 'https://openalex.org/W2907973443', 'https://openalex.org/W257610258', 'https://openalex.org/W2372901188', 'https://openalex.org/W2171867974', 'https://openalex.org/W2166518045', 'https://openalex.org/W2130754735', 'https://openalex.org/W2096195282', 'https://openalex.org/W1993287317'], 'abstract_inverted_index': {'Let': [0], 'X': [1, 14], 'be': [2, 8], 'a': [3, 9, 26, 62, 74], 'Banach': [4], 'space': [5], 'and': [6, 38, 65, 93], 'T': [7, 30], 'bounded': [10, 89], 'linear': [11], 'operator': [12, 21, 69], 'from': [13], 'to': [15, 88], 'itself': [16], '(T': [17], '∈': [18, 23], 'B(X).)': [19], 'An': [20], 'D': [22, 35, 42], '(X)': [24], 'is': [25, 78, 85], 'Drazin': [27, 75], 'inverse': [28, 76], 'of': [29, 59], 'if': [31], 'TD': [32], '=': [33, 36, 40], 'DT,': [34], 'TD²': [37], 'Tk': [39], 'Tk+1': [41], 'for': [43], 'some': [44], 'nonnegative': [45], 'integer': [46], 'k.': [47], 'In': [48], 'this': [49], 'paper': [50], 'we': [51], 'look': [52], 'at': [53], 'the': [54, 81], 'Jörgens': [55], 'algebra,': [56], 'an': [57, 68], 'algebra': [58, 72], 'operators': [60], 'on': [61], 'dual': [63], 'system,': [64], 'characterise': [66], 'when': [67], 'in': [70, 80], 'that': [71, 77], 'has': [73], 'also': [79], 'algebra.': [82], 'This': [83], 'result': [84], 'then': [86], 'applied': [87], 'inner': [90], 'product': [91], 'spaces': [92], '*-algebras.': [94]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W1974453418', 'counts_by_year': [], 'updated_date': '2024-12-13T21:22:00.822224', 'created_date': '2016-06-24'}