Set of continuous real-valued functions

Reference no: EM13990813

The support of a real-valued function f on a topological space is the closure of {x : f (x ) /= 0}. Let L be the set of continuous real-valued functions on R with compact support.

(a) Show that ( f dµ is defined for any f ∈ L and Radon measure µ.

(b) Show that L is a Stone vector lattice as defined in §4.5.

Reference no: EM13990813

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