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A Brooks Type Integral with Respect to a Set-Valued Measure
http://hdl.handle.net/2261/1534
http://hdl.handle.net/2261/153416dd93d6-26aa-4b31-a5e1-1950675a2a99
名前 / ファイル | ライセンス | アクション |
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jms030302.pdf (141.4 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2008-03-04 | |||||
タイトル | ||||||
タイトル | A Brooks Type Integral with Respect to a Set-Valued Measure | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | departmental bulletin paper | |||||
著者 |
Precupanu, Anca-Maria
× Precupanu, Anca-Maria |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | A generalization of the set--valued Brooks integral [3] with respect to a set--valued measure whose values are subsets of a Hausdorff locally convex topological vector space is presented. The construction of this new kind of integral is based on Weber's result [19] concerning the existence of a family of semi--invariant pseudo--metrics which ge\-ne\-ra\-tes the uniformity of a uniform semigroup (in our case, the semigroup of convex, bounded, closed subsets of a Hausdorff locally convex topological vector space). Several properties of the new integral are given and also a theorem of Vitali type is established. | |||||
書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 3, 号 3, p. 533-546, 発行日 1996 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 13405705 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA11021653 | |||||
フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf | |||||
日本十進分類法 | ||||||
主題 | 415 | |||||
主題Scheme | NDC | |||||
Mathematical Reviews Number | ||||||
MR1432107 | ||||||
Mathmatical Subject Classification | ||||||
28B20(MSC1991) | ||||||
Mathmatical Subject Classification | ||||||
28A25(MSC1991) | ||||||
Mathmatical Subject Classification | ||||||
28B10(MSC1991) | ||||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
1995-04-12 |