Let V be a vector space, let W1, ...., Wk, be subspaces of V, and let Vi = W1, + ... + Wi-1, + i+1 +...+ Wk. Suppose that . Prove that the dual space V* has the directsum decomposition .
Show transcribed image textLet V be a vector space, let W1, ...., Wk, be subspaces of V, and let Vi = W1, + ... + Wi-1, + i+1 +...+ Wk. Suppose that . Prove that the dual space V* has the directsum decomposition .