Question: 1 Equation (7) states that the Bellman operator is a contraction. a. Show that, for any functions f and g, max f(a) - max g(a)|

1 Equation (7) states that the Bellman operator is a contraction. a. Show that, for any functions f and g, max f(a) -

a. Show that, for any functions f and g, max f(a) - max g(a)| max|f(a) - g(a)|. a a a b. Write out an expression for (BU - BU)(s) and then apply the result from (a) to complete the proof that the Bellman operator is a contraction.

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