Is W a subspace of V? If not, state why. Assume that V has the standard operations.

W is the set of all functions that are continuous on [-2, 2].

V is the set of all functions that are integrable on [-2, 2].

Question

Alan Briggs

Mathematics

17 October, 02:02

Is W a subspace of V? If not, state why. Assume that V has the standard operations.

W is the set of all functions that are continuous on [-2, 2].

V is the set of all functions that are integrable on [-2, 2].

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Answers (1)

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Nathalie · Answer 1

No W is not a subspace of V

Step-by-step explanation:

A subspace is space that is wholly contained in another space.

From the above description of subspace. all the functions that are continuous will also be integrable. So V is subspace of W not the other way round.

Is W a subspace of V? If not, state why. Assume that V has the standard operations.W is the set of all functions that are continuous on [-2, 2].V is the set of all functions that are integrable on [-2, 2].

Is W a subspace of V? If not, state why. Assume that V has the standard operations.

W is the set of all functions that are continuous on [-2, 2].

V is the set of all functions that are integrable on [-2, 2].