{"created":"2023-07-27T06:52:26.073139+00:00","id":46350,"links":{},"metadata":{"_buckets":{"deposit":"9e0823f3-b276-4a86-8166-366d1ceeec3e"},"_deposit":{"created_by":18,"id":"46350","owners":[18],"pid":{"revision_id":0,"type":"depid","value":"46350"},"status":"published"},"_oai":{"id":"oai:kanazawa-u.repo.nii.ac.jp:00046350","sets":["2812:2813:2823"]},"author_link":["76933","1423"],"item_9_biblio_info_8":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2011-06-01","bibliographicIssueDateType":"Issued"},"bibliographicPageStart":"4p.","bibliographicVolumeNumber":"2008-2010","bibliographic_titles":[{"bibliographic_title":"平成22(2010)年度 科学研究費補助金 若手研究(B) 研究成果報告書"},{"bibliographic_title":"2010 Fiscal Year Final Research Report","bibliographic_titleLang":"en"}]}]},"item_9_creator_33":{"attribute_name":"著者別表示","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{}],"nameIdentifiers":[{},{}]}]},"item_9_description_21":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"一般的な空間である荷重付きディリクレ空間上の作用素、特に掛け算作用素、テープリッツ作用素、ハンケル作用素がいつ閉値域を持つのかを特徴付けを行った。ベルグマン空間上での掛け算作用素に関しては勿論、一般的な空間である荷重付きディリクレ空間上の掛け算作用素が閉値域を持つ必要条件に関する必要十分条件に関しては知られているが、テープリッツ作用素、ハンケル作用素がいつ閉値域を持つのかに関しては殆ど知られていない。そこで、シンボルを解析函数に限定して、サンプリング集合の特徴付けを行い、その解析結果を利用して、テープリッツ作用素及びハンケル作用素がいつ閉値域を持つかに関する結果を得た。","subitem_description_type":"Abstract"},{"subitem_description":"I researched the operators on the weighted Dirichlet spaces. In particular, I studied the multiplication operator and the Toeplitz operator and the Hankel operator on the weighted Dirichlet space with the closed range. It is well-known with respect to the closed range multiplication operator, but there is no result with respect to the closed range Toeplitz operator and Hankel operator on the weighted Dirichlet space. So I studied the sampling set with respect to the analytic symbol multiplication operator. Moreover I get the results when Toeplitz operator and Hankel operator have the closed range on the weighted Dirichlet spaces.","subitem_description_type":"Abstract"}]},"item_9_description_22":{"attribute_name":"内容記述","attribute_value_mlt":[{"subitem_description":"出典：研究課題「サンプリング集合を利用した閉値域作用素の解析と不変部分空間の構築」課題番号20740070\n（KAKEN：科学研究費助成事業データベース（国立情報学研究所）） \n（https://kaken.nii.ac.jp/report/KAKENHI-PROJECT-20740070/20740070seika/）を加工して作成","subitem_description_type":"Other"}]},"item_9_description_5":{"attribute_name":"提供者所属","attribute_value_mlt":[{"subitem_description":"金沢大学人間社会研究域学校教育系","subitem_description_type":"Other"}]},"item_9_identifier_registration":{"attribute_name":"ID登録","attribute_value_mlt":[{"subitem_identifier_reg_text":"10.24517/00052681","subitem_identifier_reg_type":"JaLC"}]},"item_9_relation_28":{"attribute_name":"関連URI","attribute_value_mlt":[{"subitem_relation_name":[{"subitem_relation_name_text":"https://kaken.nii.ac.jp/search/?qm=70342475"}],"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://kaken.nii.ac.jp/search/?qm=70342475","subitem_relation_type_select":"URI"}},{"subitem_relation_name":[{"subitem_relation_name_text":"https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-20740070/"}],"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-20740070/","subitem_relation_type_select":"URI"}},{"subitem_relation_name":[{"subitem_relation_name_text":"https://kaken.nii.ac.jp/report/KAKENHI-PROJECT-20740070/20740070seika/"}],"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://kaken.nii.ac.jp/report/KAKENHI-PROJECT-20740070/20740070seika/","subitem_relation_type_select":"URI"}}]},"item_9_version_type_25":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_ab4af688f83e57aa","subitem_version_type":"AM"}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2018-11-05"}],"displaytype":"detail","filename":"ED-PR-YONEDA-R-kaken 2011-4p.pdf","filesize":[{"value":"266.7 kB"}],"format":"application/pdf","licensetype":"license_11","mimetype":"application/pdf","url":{"label":"ED-PR-YONEDA-R-kaken 2011-4p.pdf","url":"https://kanazawa-u.repo.nii.ac.jp/record/46350/files/ED-PR-YONEDA-R-kaken 2011-4p.pdf"},"version_id":"1d753fa2-7310-464e-83c2-022843584be5"}]},"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":"research report","resourceuri":"http://purl.org/coar/resource_type/c_18ws"}]},"item_title":"サンプリング集合を利用した閉値域作用素の解析と不変部分空間の構築","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"サンプリング集合を利用した閉値域作用素の解析と不変部分空間の構築"},{"subitem_title":"The characterization of the closed range operator and the invariant subspace using the sampling set","subitem_title_language":"en"}]},"item_type_id":"9","owner":"18","path":["2823"],"pubdate":{"attribute_name":"公開日","attribute_value":"2018-11-05"},"publish_date":"2018-11-05","publish_status":"0","recid":"46350","relation_version_is_last":true,"title":["サンプリング集合を利用した閉値域作用素の解析と不変部分空間の構築"],"weko_creator_id":"18","weko_shared_id":-1},"updated":"2023-07-27T13:21:05.037982+00:00"}