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An Application of Spectral Properties of Non-support Operators to a Theorem of S. Karlin
http://hdl.handle.net/10083/2123
http://hdl.handle.net/10083/21239418e29c-8acb-4df5-bb50-027886e3ae8b
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
KJ00004829608.pdf (425.8 kB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2008-04-30 | |||||
| タイトル | ||||||
| タイトル | An Application of Spectral Properties of Non-support Operators to a Theorem of S. Karlin | |||||
| 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 |
Sawashima, Ikuko
× Sawashima, Ikuko× 沢島, 侑子 |
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| 著者(ヨミ) | ||||||
| 識別子Scheme | WEKO | |||||
| 識別子 | 69688 | |||||
| 姓名 | サワシマ, イクコ | |||||
| 内容記述 | ||||||
| 内容記述タイプ | Other | |||||
| 内容記述 | Recently, S. Karlin has shown the existence of infinite eigenvalues for integral operators with extended totally positive kernels or more general kernels [1]. Each of these kernels must satisfy some conditions of differentiability. In the following note, we shall show that, applying the spectral properties of non-support operators obtained by the author [3], the above Karlin's results can be extended to the case of integral operators without differentiability conditions. For example, as one of these kernels, we can take a kernel K (x, s) of Schmidt type on (a, b)×(a, b) which is totally positive, continuous (not necessarily symmetric) and satisfies [numeberical] The author wishes to express her hearty thanks to Prof. S. Karlin for his valuable informations and remarks given her during his stay in Japan. | |||||
| 書誌情報 |
お茶の水女子大學自然科學報告 巻 16, 号 1, p. 1-8, 発行日 1965-07 |
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| ISSN | ||||||
| 収録物識別子タイプ | ISSN | |||||
| 収録物識別子 | 00298190 | |||||
| 書誌レコードID | ||||||
| 収録物識別子タイプ | NCID | |||||
| 収録物識別子 | AN00033958 | |||||
| フォーマット | ||||||
| 内容記述タイプ | Other | |||||
| 内容記述 | application/pdf | |||||
| 形態 | ||||||
| 425847 bytes | ||||||
| 日本十進分類法 | ||||||
| 主題Scheme | NDC | |||||
| 主題 | 400 | |||||
| 出版者 | ||||||
| 出版者 | お茶の水女子大学 | |||||
| 資源タイプ | ||||||
| 内容記述タイプ | Other | |||||
| 内容記述 | 紀要論文 | |||||
| 資源タイプ・ローカル | ||||||
| 紀要論文 | ||||||
| 資源タイプ・NII | ||||||
| Departmental Bulletin Paper | ||||||
| 資源タイプ・DCMI | ||||||
| text | ||||||
| 資源タイプ・ローカル表示コード | ||||||
| 03 | ||||||
| 所属 | ||||||
| Department of Mathematics, Faculty of Science, Ochanomizu University | ||||||
