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タイトル
  • ja STRONG MONOTONICITY FOR VARIOUS MEANS
作成者
    • en Kosaki, Hideki ja 幸﨑, 秀樹 ja-Kana コウサキ, ヒデキ
    • 所属 en Department of Mathematical Sciences, Faculty of Mathematics, Kyushu University
アクセス権 open access
主題
  • Other ja Primary 47A63, 47A64
  • Other ja Secondary 15A42, 15A60, 47A30
  • Other ja Fourier transform
  • Other ja Hilbert space operator
  • Other ja infinitely divisible function
  • Other ja Kolmogorov formula
  • Other ja L´evi-Khintchine formula
  • Other ja norm inequality
  • Other ja operator mean
  • Other ja positive definite
  • Other ja function
  • Other ja positive operator
  • Other ja unitarily invariant norm
内容注記
  • Abstract ja Point-wise monotonicity (in parameters) for various one-parameter families of scalar means such as power difference means, binomial means and Stolarsky means is well-known, but norm comparison for corresponding operator means requires monotonicity in the sense of positive definiteness. Among other things we obtain monotonicity in the sense of infinite divisibility, which is much stronger than that in the sense of positive definiteness. These strong monotonicity results are proved based on explicit computations for measures in relevant L´evi-Khintchine (or actually Kolmogorov) formulas.
出版者 en Faculty of Mathematics, Kyushu University ja 九州大学大学院数理学研究院
日付
    Issued2013
言語
  • eng
資源タイプ journal article
出版タイプ AO
資源識別子 HDL https://hdl.handle.net/2324/26710
関連
  • isPartOf en Kyushu University Preprint Series in Mathematics ; 2013-1
  • en Kyushu University Preprint Series in Mathematics || 2013-1 || p1-39
  • ja http://www.math.kyushu-u.ac.jp/
収録誌情報
  • ja Kyushu University Preprint Series in Mathematics en Kyushu University Preprint Series in Mathematics
ファイル
コンテンツ更新日時 2023-12-20