V = F(R, R) and W = {f ∈ V | limt→0 f(t) = 0}
V = F([0, 1], R) and W = {f ∈ V | f(0) = f(1)}.
V = F(R, F2) and W = {f ∈ V | f(xy) = f(x) + f(y) for all x, y ∈
R}.
W is a subspace or not
V = F(R, R) and W = {f ∈ V | limt→0 f(t) = 0} V = F([0, 1], R) and W = {f ∈ V | f(0) = f(1)}. V = F(R, F2) and W = {f ∈
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