Generally, a mean value is defined as a function M: ޒ q = ޒ q ª ޒ q which satisfies the following postulate
Arithmetic–Geometric Mean and Related Inequalities for Operators
✍ Scribed by Hideki Kosaki
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 317 KB
- Volume
- 156
- Category
- Article
- ISSN
- 0022-1236
No coin nor oath required. For personal study only.
✦ Synopsis
In recent years certain arithmetic geometric mean and related inequalities for operators and unitarily invariant norms have been obtained by many authors based on majorization technique and so on. We first point out that they are direct consequences of integral expressions of relevant operators. Furthermore we obtain related new inequalities (Theorems 4, 5, and 6) based on our current approach.
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