Set of periodic function on the real line

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Let a be a real number (constant), V = C(R), S = {f is in V | f(x) = f(x+a)} (this subset is the set of periodic function on the real line with period equal to a) . Determine if S is a subspace. If not, provide a counter example.

Reference no: EM131350165

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Set of periodic function on the real line : Let a be a real number (constant), V = C(R), S = {f is in V | f(x) = f(x+a)} (this subset is the set of periodic function on the real line with period equal to a) . Determine if S is a subspace. If not, provide a counter example.
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