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Comparison of norms |||f(A)−f(B)||| and |||f(|A−B|)|||

✍ Scribed by T. Ando

Publisher
Springer-Verlag
Year
1988
Tongue
French
Weight
275 KB
Volume
197
Category
Article
ISSN
0025-5874

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📜 SIMILAR VOLUMES

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A matrix subadditivity inequality for f(
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✍ Jean-Christophe Bourin; Mitsuru Uchiyama 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 120 KB

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)