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Matrix monotone functions

Vrijeme: 7.4.2010
Predavaonica: 005
Predavač: John McCarthy, Washington University
Naziv: Matrix monotone functions

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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