Remarks on free mutual information and orbital free entropy

Masaki Izumi, Yoshimichi Ueda

    Research output: Contribution to journalArticlepeer-review

    9 Citations (Scopus)

    Abstract

    The present notes provide a proof of i* (CP +C(I - P);CQ+C(I - Q)) = -χorb(P,Q) for any pair of projections P,Q with τ (P) = τ (Q) = 1/2. The proof includes new extra observations, such as a subordination result in terms of Loewner equations. A study of the general case is also given.

    Original languageEnglish
    Pages (from-to)45-66
    Number of pages22
    JournalNagoya Mathematical Journal
    Volume220
    Issue number1
    DOIs
    Publication statusPublished - 2015

    All Science Journal Classification (ASJC) codes

    • General Mathematics

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