Abstract
We study conditional expectations generated by an abelian C*-subalgebra in the centralizer of a positive functional. We formulate and prove Jensen's inequality for functions of several variables with respect to this type of conditional expectations, and we obtain as a corollary Jensen's inequality for expectation values.
| Original language | English |
|---|---|
| Pages (from-to) | 1-5 |
| Number of pages | 5 |
| Journal | Journal of Inequalities in Pure and Applied Mathematics |
| Volume | 6 |
| Issue number | 5 |
| Publication status | Published - 2005 |
| Externally published | Yes |
Keywords
- Conditional expectation
- Jensen's inequality
- Trace function
ASJC Scopus subject areas
- Mathematics(all)