147 citations · 614 across the 37 of their papers we have counts for
48 papers
Quantum Rényi divergences and the strong converse exponent of state discrimination in operator algebras
Fumio Hiai, Milán Mosonyi
The sandwiched Rényi -divergences of two finite-dimensional quantum states play a distinguished role among the many quantum versions of Rényi divergences as the tight quantifier…
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…
Connections of unbounded operators and some related topics: von Neumann algebra case
Fumio Hiai, Hideki Kosaki
The Kubo-Ando theory deals with connections for positive bounded operators. On the other hand, in various analysis related to von Neumann algebras it is impossible to avoid unbound…
Concise lectures on selected topics of von Neumann algebras
Fumio Hiai
A breakthrough took place in the von Neumann algebra theory when the Tomita-Takesaki theory was established around 1970. Since then, many important issues in the theory were develo…
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…
Operator means of probability measures
Fumio Hiai, Yongdo Lim
Let be the complete metric space consisting of positive invertible operators on an infinite-dimensional Hilbert space with the Thompson metric. We introduce the notion…