Jensen's Operator Inequality

Details Jensen's Operator Inequality Jensen's Operator Inequality

2002-04-03

arxiv.org/abs/math/0204049v1

Bull. London Math. Soc. 35 (2003), 553-564

Mathematics

Operator Algebras

12 pp

Scientific paper

10.1112/S0024609303002200

We establish what we consider to be the definitive versions of Jensen's operator inequality and Jensen's trace inequality for functions defined on an interval. This is accomplished by the introduction of genuine non-commutative convex combinations of operators, as opposed to the contractions used in earlier versions of the theory. As a consequence, we no longer need to impose conditions on the interval of definition. We show how this relates to the pinching inequality of Davis, and how Jensen's trace inequlity generalizes to C*-algebras..

Affiliated with

Also associated with

No associations

Rating

Jensen's Operator Inequality does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Jensen's Operator Inequality, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Jensen's Operator Inequality will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-340447