{"created":"2021-03-01T06:36:31.557175+00:00","id":28438,"links":{},"metadata":{"_buckets":{"deposit":"5a45540e-80a4-4812-8be1-6cb653b7d60a"},"_deposit":{"id":"28438","owners":[],"pid":{"revision_id":0,"type":"depid","value":"28438"},"status":"published"},"_oai":{"id":"oai:nagoya.repo.nii.ac.jp:00028438","sets":["697:698:699"]},"author_link":["93055","93056"],"item_10_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2014-09","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"3","bibliographicPageEnd":"530","bibliographicPageStart":"519","bibliographicVolumeNumber":"18","bibliographic_titles":[{"bibliographic_title":"Positivity"}]}]},"item_10_description_4":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"Let M be a von Neumann algebra and let M⋆ be its (unique) predual. We study when for every φ∈M⋆ there exists ψ∈M⋆ solving the equation ∥φ±ψ∥=∥φ∥=∥ψ∥. This is the case when M does not contain type I nor type III1 factors as direct summands and it is false at least for the unique hyperfinite type III1 factor. We also characterize this property in terms of the existence of centrally symmetric curves in the unit sphere of M⋆ of length 4. An approximate result valid for all diffuse von Neumann algebras allows to show that the equation has solution for every element in the ultraproduct of preduals of diffuse von Neumann algebras and, in particular, the dual von Neumann algebra of such ultraproduct is diffuse. This shows that the Daugavet property and the uniform Daugavet property are equivalent for preduals of von Neumann algebras.","subitem_description_language":"en","subitem_description_type":"Abstract"}]},"item_10_publisher_32":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Springer","subitem_publisher_language":"en"}]},"item_10_relation_11":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_type":"isVersionOf","subitem_relation_type_id":{"subitem_relation_type_id_text":"https://doi.org/10.1007/s11117-013-0259-z","subitem_relation_type_select":"DOI"}}]},"item_10_rights_12":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"“This is a post-peer-review, pre-copyedit version of an article published in [Positivity]. The final authenticated version is available online at: http://dx.doi.org/10.1007/s11117-013-0259-z”.","subitem_rights_language":"en"}]},"item_10_select_15":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_select_item":"author"}]},"item_10_source_id_61":{"attribute_name":"ISSN（print）","attribute_value_mlt":[{"subitem_source_identifier":"1385-1292","subitem_source_identifier_type":"PISSN"}]},"item_1615787544753":{"attribute_name":"出版タイプ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_ab4af688f83e57aa","subitem_version_type":"AM"}]},"item_access_right":{"attribute_name":"アクセス権","attribute_value_mlt":[{"subitem_access_right":"open access","subitem_access_right_uri":"http://purl.org/coar/access_right/c_abf2"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Martín, Miguel","creatorNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"93055","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"Ueda, Yoshimichi","creatorNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"93056","nameIdentifierScheme":"WEKO"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2019-08-28"}],"displaytype":"detail","filename":"1209_3391.pdf","filesize":[{"value":"186.3 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"1209_3391","objectType":"fulltext","url":"https://nagoya.repo.nii.ac.jp/record/28438/files/1209_3391.pdf"},"version_id":"443b8c4e-23ed-4e04-aa13-c15d28e0d033"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"von Neumann algebra","subitem_subject_scheme":"Other"},{"subitem_subject":"Predual","subitem_subject_scheme":"Other"},{"subitem_subject":"Factor","subitem_subject_scheme":"Other"},{"subitem_subject":"Diffuseness","subitem_subject_scheme":"Other"},{"subitem_subject":"Daugavet property","subitem_subject_scheme":"Other"},{"subitem_subject":"Extreme point","subitem_subject_scheme":"Other"},{"subitem_subject":"Girth curve","subitem_subject_scheme":"Other"},{"subitem_subject":"Flat space","subitem_subject_scheme":"Other"},{"subitem_subject":"Ultraproduct","subitem_subject_scheme":"Other"},{"subitem_subject":"Ultrapower","subitem_subject_scheme":"Other"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"journal article","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"On the geometry of von Neumann algebra preduals","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"On the geometry of von Neumann algebra preduals","subitem_title_language":"en"}]},"item_type_id":"10","owner":"1","path":["699"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2019-08-28"},"publish_date":"2019-08-28","publish_status":"0","recid":"28438","relation_version_is_last":true,"title":["On the geometry of von Neumann algebra preduals"],"weko_creator_id":"1","weko_shared_id":-1},"updated":"2023-01-16T04:21:19.400818+00:00"}