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math.FA2019
Functions preserving operator means
Trung Hoa Dinh, Hiroyuki Osaka, Shuhei Wada
Let be a non-trivial operator mean in the sense of Kubo and Ando, and let the set of normalized positive operator monotone functions on . In this paper, w…
math.FA2019
Ando-Hiai type inequalities for operator means and operator perspectives
Fumio Hiai, Yuki Seo, Shuhei Wada
We improve the existing Ando-Hiai inequalities for operator means and present new ones for operator perspectives in several ways. We also provide the operator perspective version o…
math.FA2019★ 2 cited
Geometric convexity of an operator mean
Shuhei Wada
Let be an operator mean in the sense of Kubo and Ando. If the representation function of satisfies then the operator mean i…