Publication Information

{'id': 'https://openalex.org/W1560592371', 'doi': 'https://doi.org/10.1137/1.9780898719093', 'title': 'Invariant Subspaces of Matrices with Applications', 'display_name': 'Invariant Subspaces of Matrices with Applications', 'publication_year': 2006, 'publication_date': '2006-01-01', 'ids': {'openalex': 'https://openalex.org/W1560592371', 'doi': 'https://doi.org/10.1137/1.9780898719093', 'mag': '1560592371'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1137/1.9780898719093', 'pdf_url': None, 'source': None, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'book', 'type_crossref': 'monograph', '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/A5024554995', 'display_name': 'Israel Gohberg', 'orcid': None}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'Israel Gohberg', 'raw_affiliation_strings': [], 'affiliations': []}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5012007500', 'display_name': 'Peter Lancaster', 'orcid': None}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'Peter Lancaster', 'raw_affiliation_strings': [], 'affiliations': []}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5013302843', 'display_name': 'Leiba Rodman', 'orcid': 'https://orcid.org/0000-0002-6722-5154'}, 'institutions': [], 'countries': [], 'is_corresponding': False, 'raw_author_name': 'Leiba Rodman', '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': 6.28, 'has_fulltext': False, 'cited_by_count': 590, 'citation_normalized_percentile': {'value': 0.995098, 'is_in_top_1_percent': True, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 99, 'max': 100}, 'biblio': {'volume': None, 'issue': None, 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10792', 'display_name': 'Matrix Theory and Algorithms', 'score': 0.9927, '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': 0.9927, '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/T12516', 'display_name': 'Advanced Mathematical Theories and Applications', 'score': 0.9325, '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'}}, {'id': 'https://openalex.org/T12504', 'display_name': 'Mathematics and Applications', 'score': 0.9307, 'subfield': {'id': 'https://openalex.org/subfields/2608', 'display_name': 'Geometry and Topology'}, '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/reflexive-operator-algebra', 'display_name': 'Reflexive operator algebra', 'score': 0.42952356}], 'concepts': [{'id': 'https://openalex.org/C12362212', 'wikidata': 'https://www.wikidata.org/wiki/Q728435', 'display_name': 'Linear subspace', 'level': 2, 'score': 0.8130897}, {'id': 'https://openalex.org/C190470478', 'wikidata': 'https://www.wikidata.org/wiki/Q2370229', 'display_name': 'Invariant (physics)', 'level': 2, 'score': 0.6394186}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.48407832}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.47809765}, {'id': 'https://openalex.org/C16324678', 'wikidata': 'https://www.wikidata.org/wiki/Q7307359', 'display_name': 'Reflexive operator algebra', 'level': 4, 'score': 0.42952356}, {'id': 'https://openalex.org/C136119220', 'wikidata': 'https://www.wikidata.org/wiki/Q1000660', 'display_name': 'Algebra over a field', 'level': 2, 'score': 0.32982856}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.24950227}, {'id': 'https://openalex.org/C37914503', 'wikidata': 'https://www.wikidata.org/wiki/Q156495', 'display_name': 'Mathematical physics', 'level': 1, 'score': 0.11000356}, {'id': 'https://openalex.org/C199360897', 'wikidata': 'https://www.wikidata.org/wiki/Q9143', 'display_name': 'Programming language', 'level': 1, 'score': 0.03962761}, {'id': 'https://openalex.org/C2778029271', 'wikidata': 'https://www.wikidata.org/wiki/Q5421931', 'display_name': 'Extension (predicate logic)', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C79013869', 'wikidata': 'https://www.wikidata.org/wiki/Q1780743', 'display_name': 'Compact operator', 'level': 3, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1137/1.9780898719093', 'pdf_url': None, 'source': None, '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': 0, 'referenced_works': [], 'related_works': ['https://openalex.org/W895236684', 'https://openalex.org/W4235906205', 'https://openalex.org/W4211126889', 'https://openalex.org/W2963446266', 'https://openalex.org/W2502913892', 'https://openalex.org/W2390025312', 'https://openalex.org/W2329220145', 'https://openalex.org/W2054502833', 'https://openalex.org/W2000716962', 'https://openalex.org/W1970434788'], 'abstract_inverted_index': {'FUNDAMENTAL': [0], 'PROPERTIES': [1, 46, 77, 110], 'OF': [2, 47, 78, 111], 'INVARIANT': [3, 48, 79, 112], 'SUBSPACES': [4, 80], 'AND': [5, 81], 'APPLICATIONS:': [6], 'Invariant': [7, 17, 33, 57, 65, 71, 92, 98, 104], 'Subspaces:': [8], 'Definition,': [9], 'Examples': [10], 'and': [11, 16, 20, 27, 52, 59, 70, 95, 129], 'First': [12], 'Properties': [13], 'Jordan': [14, 23, 118], 'Form': [15, 24, 119], 'Subspaces': [18, 22, 34, 54, 58, 66, 72, 87, 93, 99, 105, 117], 'Coinvariant': [19], 'Semi-invariant': [21], 'for': [25, 35], 'Extensions': [26], 'Completions': [28], 'Applications': [29, 108, 124], 'to': [30], 'Matrix': [31, 41, 122], 'Polynomials': [32], 'Transformations': [36, 61, 75], 'between': [37], 'Different': [38], 'Spaces': [39], 'Rational': [40], 'Functions': [42, 123], 'Linear': [43, 60, 74], 'Systems': [44], 'ALGEBRAIC': [45], 'SUBSPACES:': [49, 113], 'Commuting': [50], 'Matrices': [51, 69], 'Hyperinvariant': [53], 'Description': [55], 'of': [56, 68, 86, 91, 97, 101, 103, 116, 120, 127], 'with': [62, 106], 'the': [63], 'Same': [64], 'Algebras': [67], 'Real': [73], 'TOPOLOGICAL': [76], 'STABILITY:': [82], 'The': [83, 88], 'Metric': [84, 89], 'Space': [85, 90], 'Continuity': [94], 'Stability': [96], 'Perturbations': [100], 'Lattices': [102], 'Restrictions': [107], 'ANALYTIC': [109], 'Analytic': [114, 121], 'Families': [115], 'Appendix': [125], 'List': [126], 'Notations': [128], 'Conventions': [130], 'References.': [131]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W1560592371', 'counts_by_year': [{'year': 2024, 'cited_by_count': 9}, {'year': 2023, 'cited_by_count': 35}, {'year': 2022, 'cited_by_count': 6}, {'year': 2021, 'cited_by_count': 7}, {'year': 2020, 'cited_by_count': 10}, {'year': 2019, 'cited_by_count': 5}, {'year': 2018, 'cited_by_count': 5}, {'year': 2017, 'cited_by_count': 8}, {'year': 2016, 'cited_by_count': 12}, {'year': 2015, 'cited_by_count': 19}, {'year': 2014, 'cited_by_count': 17}, {'year': 2013, 'cited_by_count': 23}, {'year': 2012, 'cited_by_count': 26}], 'updated_date': '2025-01-04T03:33:48.822657', 'created_date': '2016-06-24'}