Special Analysis Seminar

Matrix monotone functions on general sets

Otte Heinävaara, Department of Mathematics, Princeton University,

'Matrix monotonicity' is the notion one gets by combining functional calculus and Loewner order on Hermitian matrices. We discuss new ways to interpret and approach Loewner's classic results on matrix monotone functions, and examine ways to generalize these results to general subsets of the real line.

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