Strongly subadditive functions

Details Strongly subadditive functions Strongly subadditive functions

2010-07-27

arxiv.org/abs/1007.4626v1

Mathematics

Functional Analysis

8 pages

Scientific paper

Let f be a function defined on positive numbers. The subject is the trace inequality $Tr f(A) + Tr f(P_2AP_2) \le Tr f(P_{12}AP_{12}) + \Tr f(P_{23}AP_{23})$, where $A$ is a positive operator, $P_1,P_2,P_3$ are orthogonal projections such that $P_1+P_2+P_3=I$, $P_{12}=P_1+P_2$ and $P_{23}=P_2+P_3$. There are several examples of functions f satisfying the inequality (called (SSA)) and the case of equality is described.

Affiliated with

Also associated with

No associations

Rating

Strongly subadditive functions 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 Strongly subadditive functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Strongly subadditive functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-320475