{"doi":"10.1002/mana.19941650108","title":"Complements on Diminnie Orthogonality","abstract":"<jats:title>Abstract</jats:title><jats:p>A new orthogonality relation for normed linear spaces is introduced by C. R. DIMINNIE in [10]. Some interesting properties of such orthogonality and its relationship with Birkhoff orthogonality are studied in the above paper.</jats:p><jats:p>The first part of this paper begins with a geometrical interpretation of Diminnie‐orthogonality which allows us to obtain some other properties of such orthogonality. The second part deals with relationships between Diminnie orthogonality and some other known orthogonalities.</jats:p>","journal":"Mathematische Nachrichten","year":1994,"id":23508,"datarank":0.20794415416798362,"base_score":1.3862943611198906,"endowment":1.3862943611198906,"self_citation_contribution":0.20794415416798362,"citation_network_contribution":0.0,"self_endowment_contribution":0.20794415416798362,"citer_contribution":0.0,"corpus_percentile":null,"corpus_rank":null,"citation_count":3,"citer_count":1,"citers_with_citation_signal":0,"citers_with_endowment":0,"datacite_reuse_total":0,"is_dataset":false,"is_dataset_confidence":null,"is_data_producer":false,"deposit_databanks":null,"is_oa":false,"file_count":0,"downloads":0,"has_version_chain":false,"published_date":null,"fair_score":null,"fair_percentile":null,"algorithm_id":"datarank_citation_only_1hop_v6","ranking_scope":"data_only","authors":[{"id":144086,"name":"Carlos Benítez","orcid":null,"position":1,"is_corresponding":false},{"id":144085,"name":"Javier Alonso","orcid":null,"position":0,"is_corresponding":false}],"reference_count":0,"raw_metadata":{"has_enrichment":true,"base_score":1.3862943611198906,"endowment":1.3862943611198906,"datacite_reuse_total":0,"file_count":0,"downloads":0,"views":0,"has_version_chain":false,"is_dataset":false,"is_oa":false,"pmid":"24523987","pmcid":null,"openalex_id":"https://openalex.org/W1965698851","authors":[],"funders":[],"total_grants":0,"fwci":0.5491,"citation_percentile":0.6271884,"influential_citations":0,"citation_trend":[{"year":2022,"count":1},{"year":2024,"count":1}],"oa_status":"closed","license":"http://onlinelibrary.wiley.com/termsAndConditions#vor","oa_locations":[{"url":"https://api.wiley.com/onlinelibrary/tdm/v1/articles/10.1002%2Fmana.19941650108","host_type":"publisher"},{"url":"https://onlinelibrary.wiley.com/doi/pdf/10.1002/mana.19941650108","host_type":"publisher"},{"url":"https://doi.org/10.1002/mana.19941650108","host_type":"journal"}],"fields_of_study":["Advanced Numerical Analysis Techniques","Mathematics"],"mesh_terms":[],"keywords":["Orthogonality","Mathematics","Relation (database)","Pure mathematics","Interpretation (philosophy)","Mathematical analysis","Geometry","Computer science","Data mining"],"sdg_mappings":[],"linked_datasets":[],"clinical_trials":[],"software_tools":[],"database_accessions":[],"source":"live","citation_network_status":"fetched"},"created_at":"2026-06-07T19:40:02.693205Z","pmid":null,"pmcid":null,"fwci":null,"citation_percentile":null,"influential_citations":0,"oa_status":null,"license":null,"views":0,"total_file_size_bytes":0,"version_count":0,"fair_f":null,"fair_a":null,"fair_i":null,"fair_r":null,"fair_zscore":null,"fair_rationale":null,"fair_model":null,"fair_agent_version":null,"fair_fulltext_source":null,"fair_has_llm":null,"fair_computed_at":null,"clinical_trials":[],"software_tools":[],"db_accessions":[],"linked_datasets":[],"topics":[]}