Shuhei Wada

activity

20182025

most citedGeometric convexity of an operator mean

2 citations · 2 across the 5 of their papers we have counts for

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7 papers · 1 filter

math.FA2025

On the Ando-Hiai property for spectral geometric means

Yuki Seo, Shuhei Wada, Takeaki Yamazaki

In this paper, we consider a two-variable operator function that includes two weighted spectral geometric means, and show fundamental properties of the operator function. Moreover,…

math.FA2025

The ALM-Framework in the Theory of Multivariate Operator Means

Dante Hoshina, Shuhei Wada

In this paper, we generalize the ALM-procedure introduced by Ando, Li, and Mathias for extending operator geometric means to multiple variables. We prove that the generalized proce…

math.FA2021

Pusz--Woronowicz functional calculus and extended operator convex perspectives

Fumio Hiai, Yoshimichi Ueda, Shuhei Wada

In this article, we first study, in the framework of operator theory, Pusz and Woronowicz's functional calculus for pairs of bounded positive operators on Hilbert spaces associated…

math.FA2019

Functions preserving operator means

Trung Hoa Dinh, Hiroyuki Osaka, Shuhei Wada

Let $σ$ be a non-trivial operator mean in the sense of Kubo and Ando, and let $O M_{+}^{1}$ the set of normalized positive operator monotone functions on $(0, \infty)$ . 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 $σ$ be an operator mean in the sense of Kubo and Ando. If the representation function $f$ of $σ$ satisfies $f_{σ} (t)^{p} \leq f_{σ} (t^{p}) for all p > 1,$ then the operator mean i…