Question

Which of the following are subspaces of F[0,1] = {f|f:[0,1] -> R}

Answer 1

Which of the following are subspaces of F[0,1] = {f|f:[0,1] -> R}

U={f (element of) F[0,1] | f(0)f(1) = 0}
V={f (element of) F[0,1] | f(0) + f(1) = 0}
S={f (element of) F[0,1] | f(x) = -2f(x), (for all) x (element of) [0,1]}
T={f (element of) F[0,1] | f(1) (less than or equal to) 0}