{"created":"2023-06-20T15:10:39.353491+00:00","id":6891,"links":{},"metadata":{"_buckets":{"deposit":"f0202062-3285-4dd6-b0bc-c4a8fe184670"},"_deposit":{"created_by":3,"id":"6891","owners":[3],"pid":{"revision_id":0,"type":"depid","value":"6891"},"status":"published"},"_oai":{"id":"oai:ynu.repo.nii.ac.jp:00006891","sets":["616:627:661"]},"author_link":["29807","29808"],"item_6_biblio_info_8":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"1995","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"1","bibliographicPageEnd":"72","bibliographicPageStart":"61","bibliographicVolumeNumber":"43","bibliographic_titles":[{"bibliographic_title":"Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学"}]}]},"item_6_description_17":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_6_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"In this paper we give a necessary and sufficient condition for a ＄L^{1}＄-bounded asymptotic martingale (amart) taking values in a Banach space to converge almost surely in norm: such an asymptotic martingale ＄(X_{n}, F_{n}, n￥geqq 1)＄ converges a.s. iff it is strongly tight, i.e. for every ＄￥epsilon>0＄ there exists a compact set ＄K_{￥epsilon}＄ such that ＄ (￥bigcap_{n=1}^{￥infty}[X_{n}￥in K_{￥epsilon}])>1-￥epsilon＄ . Moreover, we show that for realvalued martingales the well known theorem of Doob is, in some sense, the best possible-there exists a martingale ＄(X_{n}, n￥geqq 1)＄ such that ￥sup_{n}E|X_{n}|^{a}<￥infty＄ for every ＄a￥in(O, 1)＄ and it diverges a.s. (in fact, it does not even converge in law, although it is strongly tight).","subitem_description_type":"Abstract"}]},"item_6_publisher_35":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Yokohama City University and Yokohama National University"}]},"item_6_source_id_11":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA0089285X","subitem_source_identifier_type":"NCID"}]},"item_6_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"00440523","subitem_source_identifier_type":"ISSN"}]},"item_6_text_4":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"Institute of Mathematics, Maria Curie-Sklodowska University, pl. Marii Curie-Sklodowskiej 1, 20-031 Lublin, Poland"},{"subitem_text_value":"Institute of Mathematics, Maria Curie-Sklodowska University,pl. Marii Curie-Sklodowskiej 1,20-031 Lublin,Poland"}]},"item_6_version_type_18":{"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":"Kruk, Lukasz"}],"nameIdentifiers":[{"nameIdentifier":"29807","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"Zieba, Wieslaw"}],"nameIdentifiers":[{"nameIdentifier":"29808","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":"2016-09-26"}],"displaytype":"detail","filename":"YMJ_43_N1_1995_061-072.pdf","filesize":[{"value":"1.1 MB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"YMJ_43_N1_1995_061-072.pdf","url":"https://ynu.repo.nii.ac.jp/record/6891/files/YMJ_43_N1_1995_061-072.pdf"},"version_id":"b8380d42-2ffa-4e27-b565-06208d8e18be"}]},"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":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"A CRITERION OF ALMOST SURE CONVERGENCE OF ASYMPTOTIC MARTINGALES IN A BANACH SPACE","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"A CRITERION OF ALMOST SURE CONVERGENCE OF ASYMPTOTIC MARTINGALES IN A BANACH SPACE"}]},"item_type_id":"6","owner":"3","path":["661"],"pubdate":{"attribute_name":"公開日","attribute_value":"2009-12-15"},"publish_date":"2009-12-15","publish_status":"0","recid":"6891","relation_version_is_last":true,"title":["A CRITERION OF ALMOST SURE CONVERGENCE OF ASYMPTOTIC MARTINGALES IN A BANACH SPACE"],"weko_creator_id":"3","weko_shared_id":3},"updated":"2023-06-20T18:48:38.084467+00:00"}