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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 |
|---|---|---|
jms030302.pdf (141.4 kB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 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Scheme | NDC | |||||
| 主題 | 415 | |||||
| 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 | ||||||
