In 1999 Ando and Zhan proved a subadditivity inequality for operator concave functions. We extend it to all concave functions: Given positive semidefinite matrices A, B and a non-negative concave function f on [0, ∞), for all symmetric norms (in particular for all Schatten p-norms). The case f (t)
Inequalities between ∥f(A + B)∥ and ∥f(A) + f(B)∥
✍ Scribed by Tomaž Kosem
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 123 KB
- Volume
- 418
- Category
- Article
- ISSN
- 0024-3795
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