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.
|ジャーナル||Journal of Inequalities in Pure and Applied Mathematics|
|出版ステータス||Published - 2005|
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