DMS Algebra Seminar

March 17 (Monday) 

Speaker: Sejong Kim (Chungbuk National University)

Title: Quasi-Wasserstein mean of positive definite matrices

Abstract: The typical examples of Kubo-Ando's operator means are the weighted arithmetic, geometric, and harmonic means, which are monotonically interpolated by the power mean (introduced by Lim and Palfia). There are other important means of non Kubo-Ando's operator means such as the weighted spectral geometric and Wasserstein mean. We define quasi-Wasserstein means, which interpolate the weighted spectral geometric and Wasserstein mean. We study their properties including monotonicity for near-order, trace and norm inequalities.