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    Article

    Pusz–Woronowicz Functional Calculus and Extended Operator Convex Perspectives

    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 with a homogeneous two-varia...

    Fumio Hiai, Yoshimichi Ueda, Shuhei Wada in Integral Equations and Operator Theory (2021)

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    Article

    Pusz–Woronowicz’s functional calculus revisited

    This note is a complement to Pusz–Woronowicz’s works on functional calculus for two positive forms from the viewpoint of operator theory. Based on an elementary, self-contained and purely Hilbert space operato...

    Kanae Hatano, Yoshimichi Ueda in Acta Scientiarum Mathematicarum (2021)

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    Article

    Matrix Liberation Process I: Large Deviation Upper Bound and Almost Sure Convergence

    We introduce the concept of matrix liberation process, a random matrix counterpart of the liberation process in free probability, and prove a large deviation upper bound for its empirical distribution and seve...

    Yoshimichi Ueda in Journal of Theoretical Probability (2019)

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    Article

    A remark on orbital free entropy

    A lower estimate of the orbital free entropy \(\chi _\mathrm {orb}\) ...

    Yoshimichi Ueda in Archiv der Mathematik (2017)

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    Article

    On the geometry of von Neumann algebra preduals

    Let \(M\) M be ...

    Miguel Martín, Yoshimichi Ueda in Positivity (2014)

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    Article

    On peak phenomena for non-commutative H ∞

    A non-commutative extension of Amar and Lederer’s peak set result is given. As its simple applications it is shown that any non-commutative H ∞-algebra H ∞(M, τ) ha...

    Yoshimichi Ueda in Mathematische Annalen (2009)

  7. Article

    Free transportation cost inequalities via random matrix approximation

    By means of random matrix approximation procedure, we re-prove Biane and Voiculescu’s free analog of Talagrand’s transportation cost inequality for measures on R in a more general setup. Furthermore, we prove the...

    Fumio Hiai, Dénes Petz, Yoshimichi Ueda in Probability Theory and Related Fields (2004)

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