Gaps between classes of matrix monotone functions

Details Gaps between classes of matrix monotone functions Gaps between classes of matrix monotone functions

2002-04-16

arxiv.org/abs/math/0204204v1

Bull. London Math. Soc. 36 (2004), 53-58

Mathematics

Operator Algebras

Scientific paper

10.1112/S0024609303002455

We prove the existence of gaps between all the different classes of matrix
monotone functions defined on an interval, provided the interval is non trivial
and different from the whole real line. We then show how matrix monotone
functions may be used in the characterization of certain C*-algebras as an
alternative to the study of the matricial structure by positive linear maps.

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