Question: Given two functionals f and g on X, define (f g)(x) = max{f (x), g(x)} (f g)(x) = min{f (x), g(x)} If f

Given two functionals f and g on X, define
(f ∨ g)(x) = max{f (x), g(x)}
(f ∧ g)(x) = min{f (x), g(x)}
If f and g are continuous, then so are f ∨ g and f ∧ g.

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