34 citations · 249 across the 39 of their papers we have counts for
40 papers
Matrix liberation process III: Unitary Brownian motion and martingale analysis
Yoshimichi Ueda
We investigate the rate functions that emerge in our previous works towards large deviation principle for the matrix liberation process driven by the unitary Brownian motion as wel…
A remark on non-commutative -spaces
Shinya Kato, Yoshimichi Ueda
We explicitly describe the Haagerup and the Kosaki non-commutative -spaces associated with a tensor product von Neumann algebra in terms of those associa…
Lebesgue decomposition for positive operators revisited
Yoshiki Aibara, Yoshimichi Ueda
We explain how Pusz--Woronowicz's idea of their functional calculus fits the theory of Lebesgue decomposition for positive operators on Hilbert spaces initially developed by Ando.…
Spherical representations for -flows III: Weight-extended branching graphs
Yoshimichi Ueda
We apply Takesaki's and Connes's ideas on structure analysis for type III factors to the study of links (a short term of Markov kernels) appearing in asymptotic representation theo…
Spherical Representations of -Flows II: Representation System and Quantum Group Setup
Yoshimichi Ueda
This paper is a sequel to our previous study of spherical representations in the operator algebra setup. We first introduce possible analogs of dimension groups in the present cont…
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…