Question: Let H be a maximal proper subspace of a linear space X and x0 H. (H is a hyperplane containing 0). There exists a unique

Let H be a maximal proper subspace of a linear space X and x0 ˆ‰ H. (H is a hyperplane containing 0). There exists a unique linear functional f ˆŠ X€².

Such that
H = {x ˆŠ X: f(x) = 0} and f(x0) = 1

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