# Znanstveni kolokviji

## Matrix monotone functions

 Vrijeme: 7.4.201017:00 Predavaonica: 005 Predavač: John McCarthy, Washington University Naziv: Matrix monotone functions Opis: If A and B are self-adjoint matrices and $A leq B$, what functions $f$ have the property that $f(A)$ must be less than or equal to $f(B)$? This question was answered by K. Lowner in 1934. Recently J. Agler, N. Young and I have extended this result to functions of more than one variable. I will describe Lowner's results, and our extensions of them.

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