Equation 12 · Part 2 · The Entry a Relabeling Cannot Write

Symbol B

\Lambda^\dagger: \mathcal B(\mathcal H_c) \to \mathcal B(\mathcal H_f)

B

What this part means

B is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Its job in the formula

B is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Full expressionSymbol BArticle meaning

The passage around this formula

Every channel has a dual. Define $\Lambda^\dagger$ : $\mathcal B(\mathcal H_c)$ $\to$ $\mathcal B(\mathcal H_f)$ by the pairing that must hold for every fine state and every coarse observable $O_c$ ,

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Learn the underlying idea

A function assigns an output to each allowed input. The expression f(x) means “apply f to x”.

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Sources cited in the article section

[9] Positive Functions on C*-Algebras ↗

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