Question

Asked Dec 27, 2019

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Let S be a nonempty set and F a field. Let C(S, F ) denote the set of all functions f ∈ F(S, F ) such that f(s) = 0 for all but a finite number of elements of S. Prove that C(S, F ) is a subspace of F(S, F ).

Step 1

Let *V* be a vector space and *W* be a subset of *V*. If *W* is a subspace of *V*, then it implies the following conditions.

Step 2

Define the fol...

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