{"created":"2023-05-15T08:56:11.399686+00:00","id":1022,"links":{},"metadata":{"_buckets":{"deposit":"78af6674-aa7e-45c5-8c80-bb68b9a124f3"},"_deposit":{"created_by":4,"id":"1022","owners":[4],"pid":{"revision_id":0,"type":"depid","value":"1022"},"status":"published"},"_oai":{"id":"oai:niit.repo.nii.ac.jp:00001022","sets":["6:7:44"]},"author_link":["5395","5396","5394"],"item_2_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2023-03","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"48","bibliographicPageStart":"41","bibliographicVolumeNumber":"27","bibliographic_titles":[{"bibliographic_title":"新潟工科大学研究紀要"}]}]},"item_2_description_4":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"Normed linear spaces play an important role in pure and applied mathematics. In particular, Banach spaces are useful tools for problem-solving in computational science. Mathematicians have showed the geometric structure\nof Banach spaces since the introduction of uniform convexity by J. A. Clarkson. B. Beauzamy presented a characterization of uniform convexity of Banach spaces. This result was an important property to elucidate the geometric struc ture of Banach spaces. It contributed to solve various optimization problems.\nOn the other hand, H. Busemann constructed a theory of non-positive curvature of metric spaces. Using this theory, B. H. Bowditch introduced nonpositive curvature spaces called Busemann spaces. Busemann spaces are more general than strictly convex Banach spaces. In recent years, Busemann spaces have attracted attention for their use in computational science. Against this background, the study of the geometric structure of Busemann spaces is valuable of pure and applied mathematics.\nIn this paper, I discuss uniform convexity of complete Busemann spaces. As a main result, I prove a characterization of uniform convexity of Busemann spaces. This is a generalization of the characterization of uniform convexity of Banach spaces given by Beauzamy.","subitem_description_type":"Abstract"}]},"item_2_identifier_registration":{"attribute_name":"ID登録","attribute_value_mlt":[{"subitem_identifier_reg_text":"10.34447/00001003","subitem_identifier_reg_type":"JaLC"}]},"item_2_publisher_32":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"新潟工科大学"}]},"item_2_source_id_7":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"1342-792X","subitem_source_identifier_type":"ISSN"}]},"item_2_source_id_9":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AN10590360","subitem_source_identifier_type":"NCID"}]},"item_2_version_type_15":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_970fb48d4fbd8a85","subitem_version_type":"VoR"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"冨澤, 佑季乃"}],"nameIdentifiers":[{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2023-03-07"}],"displaytype":"detail","filename":"kiyo27_41-48.pdf","filesize":[{"value":"264.8 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"kiyo27_41-48","url":"https://niit.repo.nii.ac.jp/record/1022/files/kiyo27_41-48.pdf"},"version_id":"c447c646-4b36-40cf-970e-23cd2a4079f6"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Busemann space"},{"subitem_subject":"uniformly convex"},{"subitem_subject":"convex combination"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"jpn"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"完備なBusemann空間の一様凸性","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"完備なBusemann空間の一様凸性","subitem_title_language":"ja"},{"subitem_title":"Uniform convexity of complete Busemann spaces","subitem_title_language":"en"}]},"item_type_id":"2","owner":"4","path":["44"],"pubdate":{"attribute_name":"公開日","attribute_value":"2023-03-10"},"publish_date":"2023-03-10","publish_status":"0","recid":"1022","relation_version_is_last":true,"title":["完備なBusemann空間の一様凸性"],"weko_creator_id":"4","weko_shared_id":-1},"updated":"2023-06-20T06:23:28.761983+00:00"}