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.
|Number of pages||5|
|Journal||Journal of Inequalities in Pure and Applied Mathematics|
|Publication status||Published - 2005|
- Conditional expectation
- Jensen's inequality
- Trace function
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