Operations on Subspaces in Real Unitary Space
نویسندگان
چکیده
Let V be a real unitary space and let W1, W2 be subspaces of V . The functor W1 + W2 yields a strict subspace of V and is defined as follows: (Def. 1) The carrier of W1 + W2 = {v + u; v ranges over vectors of V , u ranges over vectors of V : v ∈ W1 ∧ u ∈ W2}. Let V be a real unitary space and let W1, W2 be subspaces of V . The functor W1 ∩ W2 yields a strict subspace of V and is defined by: (Def. 2) The carrier of W1 ∩ W2 = (the carrier of W1) ∩ (the carrier of W2).
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