{"_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\u0027s 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_4_text_34": {"attribute_name": "\u8cc7\u6e90\u30bf\u30a4\u30d7", "attribute_value_mlt": [{"subitem_text_value": "Departmental Bulletin Paper"}]}, "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", "download_preview_message": "", "file_order": 0, "filename": "jms070103.pdf", "filesize": [{"value": "93.3 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_free", "mimetype": "application/pdf", "size": 93300.0, "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\u0027s Dirichlet Forms on Self-Similar Sets", "item_titles": {"attribute_name": "\u30bf\u30a4\u30c8\u30eb", "attribute_value_mlt": [{"subitem_title": "Markov Property of Kusuoka-Zhou\u0027s Dirichlet Forms on Self-Similar Sets"}]}, "item_type_id": "4", "owner": "1", "path": ["312/6865/7017/7025", "9/504/6868/7019/7026"], "permalink_uri": "http://hdl.handle.net/2261/1229", "pubdate": {"attribute_name": "\u516c\u958b\u65e5", "attribute_value": "2008-03-04"}, "publish_date": "2008-03-04", "publish_status": "0", "recid": "40238", "relation": {}, "relation_version_is_last": true, "title": ["Markov Property of Kusuoka-Zhou\u0027s Dirichlet Forms on Self-Similar Sets"], "weko_shared_id": null}