Shuhei Wada

activity

20142025

most citedOperator monotonicity of some functions

4 citations · 8 across the 8 of their papers we have counts for

collaborators

9 papers

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…

math.FA2018★ 2 cited

Ando-Hiai type inequalities for multivariate operator means

Fumio Hiai, Yuki Seo, Shuhei Wada

We present several Ando-Hiai type inequalities for $n$ -variable operator means for positive invertible operators. Ando-Hiai's inequalities given here are not only of the original t…

math.FA2015

Equivalence relations among some inequalities on operator means

Shuhei Wada, Takeaki Yamazaki

We will consider about some inequalities on operator means for more than three operators, for instance, ALM and BMP geometric means will be considered. Moreover, log-Euclidean and…

math.FA2014★ 4 cited

Operator monotonicity of some functions

Masaru Nagisa, Shuhei Wada

We investigate the operator monotonicity of functions which was considered by V.E. Szabo.