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math.OA2021
The Expanding Universe of the Geometric Mean
Jimmie D. Lawson, Yongdo Lim
In this paper the authors seek to trace in an accessible fashion the rapid recent development of the theory of the matrix geometric mean in the cone of positive definite matrices u…
math.OA2019
Existence and Uniqueness of the Karcher Mean on Unital -algebras
Jimmie Lawson
The Karcher mean on the cone of invertible positive elements of the -algebra of bounded operators on a Hilbert space has recently been extended to a c…