2011年7月
Operator log-convex functions and operator means
MATHEMATISCHE ANNALEN
- ,
- 巻
- 350
- 号
- 3
- 開始ページ
- 611
- 終了ページ
- 630
- 記述言語
- 英語
- 掲載種別
- DOI
- 10.1007/s00208-010-0577-4
- 出版者・発行元
- SPRINGER
We study operator log-convex functions on (0, a), and prove that a continuous nonnegative function on (0, a) is operator log-convex if and only if it is operator monotone decreasing. Several equivalent conditions related to operator means are given for such functions. Operator log-concave functions are also discussed.
- リンク情報
- ID情報
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- DOI : 10.1007/s00208-010-0577-4
- ISSN : 0025-5831
- eISSN : 1432-1807
- Web of Science ID : WOS:000291485800005