Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W89313578', 'doi': 'https://doi.org/10.1007/bfb0089311', 'title': 'A compactness theorem for integral operators and applications', 'display_name': 'A compactness theorem for integral operators and applications', 'publication_year': 1980, 'publication_date': '1980-01-01', 'ids': {'openalex': 'https://openalex.org/W89313578', 'doi': 'https://doi.org/10.1007/bfb0089311', 'mag': '89313578'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/bfb0089311', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S118039931', 'display_name': 'Lecture notes in mathematics', 'issn_l': '0075-8434', 'issn': ['0075-8434', '1617-9692'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319965', 'host_organization_name': 'Springer Nature', 'host_organization_lineage': ['https://openalex.org/P4310319965'], 'host_organization_lineage_names': ['Springer Nature'], 'type': 'book series'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'book-chapter', 'type_crossref': 'book-chapter', '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/A5084784630', 'display_name': 'Mariella Cecchi', 'orcid': None}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'M. Cecchi', 'raw_affiliation_strings': [], 'affiliations': []}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5102957507', 'display_name': 'Mauro Marini', 'orcid': 'https://orcid.org/0000-0003-3349-7917'}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'M. Marini', 'raw_affiliation_strings': [], 'affiliations': []}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5111641093', 'display_name': 'P. Zezza', 'orcid': None}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'P. L. Zezza', 'raw_affiliation_strings': [], 'affiliations': []}], 'institution_assertions': [], 'countries_distinct_count': 0, 'institutions_distinct_count': 0, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], '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': 55}, 'biblio': {'volume': None, 'issue': None, 'first_page': '119', 'last_page': '125'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T11210', 'display_name': 'Mathematical Analysis and Transform Methods', 'score': 0.9741, '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': 0.9741, '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': 0.9675, '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/T12100', 'display_name': 'Advanced Mathematical Modeling in Engineering', 'score': 0.9635, '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'}}], 'keywords': [], 'concepts': [{'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.86127853}, {'id': 'https://openalex.org/C18648836', 'wikidata': 'https://www.wikidata.org/wiki/Q381892', 'display_name': 'Compact space', 'level': 2, 'score': 0.85056317}, {'id': 'https://openalex.org/C171636804', 'wikidata': 'https://www.wikidata.org/wiki/Q1149458', 'display_name': 'Compactness theorem', 'level': 4, 'score': 0.59236383}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.41345704}, {'id': 'https://openalex.org/C2777686260', 'wikidata': 'https://www.wikidata.org/wiki/Q144037', 'display_name': 'Calculus (dental)', 'level': 2, 'score': 0.33290356}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.32186288}, {'id': 'https://openalex.org/C45962547', 'wikidata': 'https://www.wikidata.org/wiki/Q1422068', 'display_name': 'Fixed-point theorem', 'level': 2, 'score': 0.19085607}, {'id': 'https://openalex.org/C146147875', 'wikidata': 'https://www.wikidata.org/wiki/Q1144897', 'display_name': 'Brouwer fixed-point theorem', 'level': 3, 'score': 0.18730265}, {'id': 'https://openalex.org/C71924100', 'wikidata': 'https://www.wikidata.org/wiki/Q11190', 'display_name': 'Medicine', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C199343813', 'wikidata': 'https://www.wikidata.org/wiki/Q12128', 'display_name': 'Dentistry', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1007/bfb0089311', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S118039931', 'display_name': 'Lecture notes in mathematics', 'issn_l': '0075-8434', 'issn': ['0075-8434', '1617-9692'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319965', 'host_organization_name': 'Springer Nature', 'host_organization_lineage': ['https://openalex.org/P4310319965'], 'host_organization_lineage_names': ['Springer Nature'], 'type': 'book series'}, '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': 4, 'referenced_works': ['https://openalex.org/W1556248905', 'https://openalex.org/W2093270924', 'https://openalex.org/W2246578137', 'https://openalex.org/W2328533164'], 'related_works': ['https://openalex.org/W4301463412', 'https://openalex.org/W4300537415', 'https://openalex.org/W2964014235', 'https://openalex.org/W2949900498', 'https://openalex.org/W2625604976', 'https://openalex.org/W2529105915', 'https://openalex.org/W2104030916', 'https://openalex.org/W1937556913', 'https://openalex.org/W1601880529', 'https://openalex.org/W1529306324'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W89313578', 'counts_by_year': [], 'updated_date': '2024-12-12T01:06:19.396986', 'created_date': '2016-06-24'}