Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2041404781', 'doi': 'https://doi.org/10.1016/j.jfa.2011.03.014', 'title': 'Tensor products of operator systems', 'display_name': 'Tensor products of operator systems', 'publication_year': 2011, 'publication_date': '2011-04-15', 'ids': {'openalex': 'https://openalex.org/W2041404781', 'doi': 'https://doi.org/10.1016/j.jfa.2011.03.014', 'mag': '2041404781'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.1016/j.jfa.2011.03.014', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S54953690', 'display_name': 'Journal of Functional Analysis', 'issn_l': '0022-1236', 'issn': ['0022-1236', '1096-0783'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320990', 'host_organization_name': 'Elsevier BV', 'host_organization_lineage': ['https://openalex.org/P4310320990'], 'host_organization_lineage_names': ['Elsevier BV'], 'type': 'journal'}, 'license': 'publisher-specific-oa', 'license_id': 'https://openalex.org/licenses/publisher-specific-oa', 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': True, 'oa_status': 'bronze', 'oa_url': 'https://doi.org/10.1016/j.jfa.2011.03.014', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5063685792', 'display_name': 'Ali S. Kavruk', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I44461941', 'display_name': 'University of Houston', 'ror': 'https://ror.org/048sx0r50', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I44461941']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'Ali Kavruk', 'raw_affiliation_strings': ['Department of Mathematics, University of Houston,#N#Houston, TX 77204-3476, USA'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics, University of Houston,#N#Houston, TX 77204-3476, USA', 'institution_ids': ['https://openalex.org/I44461941']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5017222701', 'display_name': 'Vern I. Paulsen', 'orcid': 'https://orcid.org/0000-0002-2361-852X'}, 'institutions': [{'id': 'https://openalex.org/I44461941', 'display_name': 'University of Houston', 'ror': 'https://ror.org/048sx0r50', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I44461941']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'Vern I. Paulsen', 'raw_affiliation_strings': ['Department of Mathematics, University of Houston,#N#Houston, TX 77204-3476, USA'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics, University of Houston,#N#Houston, TX 77204-3476, USA', 'institution_ids': ['https://openalex.org/I44461941']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5103117787', 'display_name': 'Ivan G. Todorov', 'orcid': 'https://orcid.org/0000-0002-0326-6723'}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'Ivan G. Todorov', 'raw_affiliation_strings': ['School of Mathematics and Physics'], 'affiliations': [{'raw_affiliation_string': 'School of Mathematics and Physics', 'institution_ids': []}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5051484910', 'display_name': 'Mark Tomforde', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I44461941', 'display_name': 'University of Houston', 'ror': 'https://ror.org/048sx0r50', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I44461941']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'Mark Tomforde', 'raw_affiliation_strings': ['Department of Mathematics, University of Houston,#N#Houston, TX 77204-3476, USA'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematics, University of Houston,#N#Houston, TX 77204-3476, USA', 'institution_ids': ['https://openalex.org/I44461941']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': {'value': 2560, 'currency': 'USD', 'value_usd': 2560, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 9.549, 'has_fulltext': False, 'cited_by_count': 147, 'citation_normalized_percentile': {'value': 0.999769, 'is_in_top_1_percent': True, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 98, 'max': 99}, 'biblio': {'volume': '261', 'issue': '2', 'first_page': '267', 'last_page': '299'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10899', 'display_name': 'Advanced Operator Algebra Research', 'score': 0.9999, '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/T10899', 'display_name': 'Advanced Operator Algebra Research', 'score': 0.9999, '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': 0.9971, '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'}}, {'id': 'https://openalex.org/T11415', 'display_name': 'Noncommutative and Quantum Gravity Theories', 'score': 0.993, 'subfield': {'id': 'https://openalex.org/subfields/3109', 'display_name': 'Statistical and Nonlinear Physics'}, 'field': {'id': 'https://openalex.org/fields/31', 'display_name': 'Physics and Astronomy'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/operator', 'display_name': 'Operator (biology)', 'score': 0.45882416}], 'concepts': [{'id': 'https://openalex.org/C93776189', 'wikidata': 'https://www.wikidata.org/wiki/Q1404488', 'display_name': 'Tensor product of Hilbert spaces', 'level': 4, 'score': 0.89237607}, {'id': 'https://openalex.org/C41678559', 'wikidata': 'https://www.wikidata.org/wiki/Q7700713', 'display_name': 'Tensor product of algebras', 'level': 5, 'score': 0.8609716}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.838588}, {'id': 'https://openalex.org/C101783463', 'wikidata': 'https://www.wikidata.org/wiki/Q3406761', 'display_name': 'Tensor product of modules', 'level': 5, 'score': 0.7897353}, {'id': 'https://openalex.org/C20178491', 'wikidata': 'https://www.wikidata.org/wiki/Q2204117', 'display_name': 'Symmetric tensor', 'level': 3, 'score': 0.71721345}, {'id': 'https://openalex.org/C51255310', 'wikidata': 'https://www.wikidata.org/wiki/Q1163016', 'display_name': 'Tensor product', 'level': 2, 'score': 0.7146646}, {'id': 'https://openalex.org/C124007464', 'wikidata': 'https://www.wikidata.org/wiki/Q428091', 'display_name': 'Tensor contraction', 'level': 3, 'score': 0.70225894}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.5962651}, {'id': 'https://openalex.org/C148125525', 'wikidata': 'https://www.wikidata.org/wiki/Q904927', 'display_name': 'Tensor density', 'level': 4, 'score': 0.5614778}, {'id': 'https://openalex.org/C155281189', 'wikidata': 'https://www.wikidata.org/wiki/Q3518150', 'display_name': 'Tensor (intrinsic definition)', 'level': 2, 'score': 0.55385476}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.53927183}, {'id': 'https://openalex.org/C128107574', 'wikidata': 'https://www.wikidata.org/wiki/Q182003', 'display_name': 'Injective function', 'level': 2, 'score': 0.50331444}, {'id': 'https://openalex.org/C17020691', 'wikidata': 'https://www.wikidata.org/wiki/Q139677', 'display_name': 'Operator (biology)', 'level': 5, 'score': 0.45882416}, {'id': 'https://openalex.org/C166077713', 'wikidata': 'https://www.wikidata.org/wiki/Q1758924', 'display_name': 'Tensor field', 'level': 3, 'score': 0.41716367}, {'id': 'https://openalex.org/C520416788', 'wikidata': 'https://www.wikidata.org/wiki/Q5419229', 'display_name': 'Exact solutions in general relativity', 'level': 2, 'score': 0.22867522}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.20023096}, {'id': 'https://openalex.org/C55493867', 'wikidata': 'https://www.wikidata.org/wiki/Q7094', 'display_name': 'Biochemistry', 'level': 1, '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/C158448853', 'wikidata': 'https://www.wikidata.org/wiki/Q425218', 'display_name': 'Repressor', 'level': 4, '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/C86339819', 'wikidata': 'https://www.wikidata.org/wiki/Q407384', 'display_name': 'Transcription factor', 'level': 3, 'score': 0.0}], 'mesh': [], 'locations_count': 3, 'locations': [{'is_oa': True, 'landing_page_url': 'https://doi.org/10.1016/j.jfa.2011.03.014', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S54953690', 'display_name': 'Journal of Functional Analysis', 'issn_l': '0022-1236', 'issn': ['0022-1236', '1096-0783'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320990', 'host_organization_name': 'Elsevier BV', 'host_organization_lineage': ['https://openalex.org/P4310320990'], 'host_organization_lineage_names': ['Elsevier BV'], 'type': 'journal'}, 'license': 'publisher-specific-oa', 'license_id': 'https://openalex.org/licenses/publisher-specific-oa', 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, {'is_oa': True, 'landing_page_url': 'http://arxiv.org/abs/0910.2210', 'pdf_url': 'http://arxiv.org/pdf/0910.2210', 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (Cornell University)', 'issn_l': None, 'issn': None, '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': ['Cornell University'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/0910.2210', 'pdf_url': 'https://arxiv.org/pdf/0910.2210', 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (Cornell University)', 'issn_l': None, 'issn': None, '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': ['Cornell University'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.1016/j.jfa.2011.03.014', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S54953690', 'display_name': 'Journal of Functional Analysis', 'issn_l': '0022-1236', 'issn': ['0022-1236', '1096-0783'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320990', 'host_organization_name': 'Elsevier BV', 'host_organization_lineage': ['https://openalex.org/P4310320990'], 'host_organization_lineage_names': ['Elsevier BV'], 'type': 'journal'}, 'license': 'publisher-specific-oa', 'license_id': 'https://openalex.org/licenses/publisher-specific-oa', 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'sustainable_development_goals': [{'display_name': 'Reduced inequalities', 'id': 'https://metadata.un.org/sdg/10', 'score': 0.72}], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 22, 'referenced_works': ['https://openalex.org/W1533233993', 'https://openalex.org/W1588182230', 'https://openalex.org/W1602420091', 'https://openalex.org/W1664392494', 'https://openalex.org/W1967211317', 'https://openalex.org/W1968145218', 'https://openalex.org/W1971126401', 'https://openalex.org/W2008975508', 'https://openalex.org/W2018017976', 'https://openalex.org/W2018501141', 'https://openalex.org/W2027909800', 'https://openalex.org/W2037241116', 'https://openalex.org/W2071212876', 'https://openalex.org/W2078962727', 'https://openalex.org/W2116102644', 'https://openalex.org/W2312338118', 'https://openalex.org/W2334450615', 'https://openalex.org/W2963554576', 'https://openalex.org/W2964261666', 'https://openalex.org/W3102970043', 'https://openalex.org/W4213358110', 'https://openalex.org/W4214662389'], 'related_works': ['https://openalex.org/W4298347446', 'https://openalex.org/W4297845514', 'https://openalex.org/W2949343535', 'https://openalex.org/W2948436065', 'https://openalex.org/W2619660439', 'https://openalex.org/W2606548108', 'https://openalex.org/W2469343812', 'https://openalex.org/W2186765725', 'https://openalex.org/W2041404781', 'https://openalex.org/W132488082'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2041404781', 'counts_by_year': [{'year': 2024, 'cited_by_count': 4}, {'year': 2023, 'cited_by_count': 4}, {'year': 2022, 'cited_by_count': 6}, {'year': 2021, 'cited_by_count': 11}, {'year': 2020, 'cited_by_count': 38}, {'year': 2019, 'cited_by_count': 7}, {'year': 2018, 'cited_by_count': 7}, {'year': 2017, 'cited_by_count': 5}, {'year': 2016, 'cited_by_count': 9}, {'year': 2015, 'cited_by_count': 20}, {'year': 2014, 'cited_by_count': 5}, {'year': 2013, 'cited_by_count': 10}, {'year': 2012, 'cited_by_count': 8}], 'updated_date': '2024-12-09T14:19:03.442578', 'created_date': '2016-06-24'}