TY - JOUR
T1 - Remarks on free mutual information and orbital free entropy
AU - Izumi, Masaki
AU - Ueda, Yoshimichi
N1 - Publisher Copyright:
© 2015 by The Editorial Board of the Nagoya Mathematical Journal.
PY - 2015
Y1 - 2015
N2 - 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.
AB - 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.
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U2 - 10.1215/00277630-3335530
DO - 10.1215/00277630-3335530
M3 - Article
AN - SCOPUS:84952361304
SN - 0027-7630
VL - 220
SP - 45
EP - 66
JO - Nagoya Mathematical Journal
JF - Nagoya Mathematical Journal
IS - 1
ER -