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Results tagged with reference-request
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user 13107
This tag is used if a reference is needed in a paper or textbook on a specific result.
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Positive extension of functionals on a subset of the state space of a $C^*$ algebra
Let $A$ be a finite dimensional $C^*$ algebra and $S(A)$ the state space. Let $K\subset A$ be an intersection of $S(A)$ with a vector subspace $J\subset A$ and let $f$ be a positive affine functional …
- 41
1
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Positive extension of functionals on a subset of the state space of a $C^*$ algebra
Kate's argument can be finished as follows:
Let us denote $L=c(V)-c(V)$. We suppose that $L$ is such that $L\cap A^+=c(V)$.
Let $\tilde L$ be the smallest real vector subspace, containing $c(V)-c(V) …
- 41