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フルテキストURL2007010014.pdf ( 186.8KB ) 公開日 2010-04-16
タイトルA note on operator inequalities of Tsallis relative operator entropy
作成者Furuichi, Shigeru
Yanagi, Kenjiro
Kuriyama, Ken
作成者ヨミヤナギ, ケンジロウ
クリヤマ, ケン
作成者別表記柳, 研二郎
栗山, 憲
作成者所属山口大学大学院理工学研究科(工学)
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
本文言語eng
著者キーワードTsallis relative entropy
Relative operator entropy
Superadditivity
Subadditivity and operator inequality
資料タイプtext
ファイル形式application/pdf
出版者Elsevier
NII資料タイプ学術雑誌論文
査読の有無査読あり
ISSN0024-3794
NCIDAA00717292
掲載誌名Linear Algebra and its Applications
407
開始ページ19
終了ページ31
発行日2005-09-15
DOIinfo:doi/10.1016/j.laa.2005.04.015
関連情報URL(IsPartOf)http://www.sciencedirect.com/science/journal/00243795
著者版/出版社版著者版
リポジトリID2007010014
地域区分山口大学
URIhttp://www.lib.yamaguchi-u.ac.jp/yunoca/handle/2007010014