| フルテキストURL | 2007010014.pdf ( 186.8KB ) 公開日 2010-04-16
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| タイトル | A note on operator inequalities of Tsallis relative operator entropy |
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| 作成者 | Furuichi, Shigeru
Yanagi, Kenjiro
Kuriyama, Ken
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| 作成者ヨミ | ヤナギ, ケンジロウ
クリヤマ, ケン
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| 作成者別表記 | 柳, 研二郎
栗山, 憲
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| 作成者所属 | 山口大学大学院理工学研究科（工学）
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| 内容記述（抄録等） | Tsallis relative operator entropy was defined as a parametric extension of relative operator entropy and the generalized Shannon inequalities were shown in the previous paper. After the review of some fundamental properties of Tsallis relative operator entropy, some operator inequalities related to Tsallis relative operator entropy are shown in the present paper. Our inequalities give the upper and lower bounds of Tsallis relative operator entropy. The operator equality on Tsallis relative operator entropy is also shown by considering the tensor product. This relation generalizes the pseudoadditivity for Tsallis entropy. As a corollary of our operator equality derived from the tensor product manipulation, we show several operator inequalities including the superadditivity and the subadditivity for Tsallis relative operator entropy. Our results are generalizations of the superadditivity and the subadditivity for Tsallis
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| 本文言語 | eng
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| 著者キーワード | Tsallis relative entropy
Relative operator entropy
Superadditivity
Subadditivity and operator inequality
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| 資料タイプ | text |
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| ファイル形式 | application/pdf |
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| 出版者 | Elsevier
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| NII資料タイプ | 学術雑誌論文 |
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| 査読の有無 | 査読あり |
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| ISSN | 0024-3794
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| NCID | AA00717292
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| 掲載誌名 | Linear Algebra and its Applications |
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| 巻 | 407 |
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| 開始ページ | 19 |
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| 終了ページ | 31 |
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| 発行日 | 2005-09-15 |
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| DOI | info:doi/10.1016/j.laa.2005.04.015 |
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| 関連情報URL(IsPartOf) | http://www.sciencedirect.com/science/journal/00243795
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| 著者版/出版社版 | 著者版 |
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| リポジトリID | 2007010014 |
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| 地域区分 | 山口大学
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| URI | http://www.lib.yamaguchi-u.ac.jp/yunoca/handle/2007010014 |
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