{"created":"2021-03-01T06:59:49.977251+00:00","id":40238,"links":{},"metadata":{"_buckets":{"deposit":"1c85975d-eb14-4dfa-ab07-c2dd0000f3bf"},"_deposit":{"id":"40238","owners":[],"pid":{"revision_id":0,"type":"depid","value":"40238"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:00040238"},"item_4_biblio_info_7":{"attribute_name":"\u66f8\u8a8c\u60c5\u5831","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2000","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"1","bibliographicPageEnd":"33","bibliographicPageStart":"27","bibliographicVolumeNumber":"7","bibliographic_titles":[{"bibliographic_title":"Journal of mathematical sciences, the University of Tokyo"}]}]},"item_4_description_13":{"attribute_name":"\u30d5\u30a9\u30fc\u30de\u30c3\u30c8","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_4_description_5":{"attribute_name":"\u6284\u9332","attribute_value_mlt":[{"subitem_description":"The main purpose of this note is to fill a gap in Kusuoka-Zhou's construction of self-similar Dirichlet forms on self- similar sets. Unfortunately, it is not quite clear whether or not the self-similar closed form $\\E$ obtained in the proof of Theorem 6.9 of [KZ] satisfies the Markov property. We will use a kind of fixed point theorem of order preserving additive maps on a cone to prove existence of a self-similar closed form with the Markov property. The fixed point theorem will be introduced in \\S 1. It is also applicable to other problems, for example, the existence problem of a harmonic structure on a p.c.f. self-similar set. In \\S 2, we will apply the fixed point theorem to show existence of self-similar Dirichlet forms on self-similar sets.","subitem_description_type":"Abstract"}]},"item_4_publisher_20":{"attribute_name":"\u51fa\u7248\u8005","attribute_value_mlt":[{"subitem_publisher":"Graduate School of Mathematical Sciences, The University of Tokyo"}]},"item_4_source_id_10":{"attribute_name":"\u66f8\u8a8c\u30ec\u30b3\u30fc\u30c9ID","attribute_value_mlt":[{"subitem_source_identifier":"AA11021653","subitem_source_identifier_type":"NCID"}]},"item_4_source_id_8":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"13405705","subitem_source_identifier_type":"ISSN"}]},"item_4_subject_15":{"attribute_name":"\u65e5\u672c\u5341\u9032\u5206\u985e\u6cd5","attribute_value_mlt":[{"subitem_subject":"415","subitem_subject_scheme":"NDC"}]},"item_4_text_16":{"attribute_name":"Mathematical Reviews Number","attribute_value_mlt":[{"subitem_text_value":"MR1749979"}]},"item_4_text_17":{"attribute_name":"Mathmatical Subject Classification","attribute_value_mlt":[{"subitem_text_value":"60J45(MSC2000)"},{"subitem_text_value":"31C25(MSC2000)"},{"subitem_text_value":"28A80(MSC2000)"}]},"item_4_text_33":{"attribute_name":"\u539f\u7a3f\u53d7\u9818\u65e5","attribute_value_mlt":[{"subitem_text_value":"1999-06-17"}]},"item_creator":{"attribute_name":"\u8457\u8005","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Kigami, Jun"}],"nameIdentifiers":[{"nameIdentifier":"138835","nameIdentifierScheme":"WEKO"}]}]},"item_files":{"attribute_name":"\u30d5\u30a1\u30a4\u30eb\u60c5\u5831","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2017-06-27"}],"displaytype":"detail","filename":"jms070103.pdf","filesize":[{"value":"93.3 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"jms070103.pdf","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/40238/files/jms070103.pdf"},"version_id":"e0f37e3f-1ba7-44bc-8820-4d9b1b31a8a0"}]},"item_language":{"attribute_name":"\u8a00\u8a9e","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_resource_type":{"attribute_name":"\u8cc7\u6e90\u30bf\u30a4\u30d7","attribute_value_mlt":[{"resourcetype":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Markov Property of Kusuoka-Zhou's Dirichlet Forms on Self-Similar Sets","item_titles":{"attribute_name":"\u30bf\u30a4\u30c8\u30eb","attribute_value_mlt":[{"subitem_title":"Markov Property of Kusuoka-Zhou's Dirichlet Forms on Self-Similar Sets"}]},"item_type_id":"4","owner":"1","path":["312/6865/7017/7025","9/504/6868/7019/7026"],"pubdate":{"attribute_name":"\u516c\u958b\u65e5","attribute_value":"2008-03-04"},"publish_date":"2008-03-04","publish_status":"0","recid":"40238","relation_version_is_last":true,"title":["Markov Property of Kusuoka-Zhou's Dirichlet Forms on Self-Similar Sets"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2021-03-01T21:04:32.545788+00:00"}