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

Question

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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Vivian 3 weeks 2021-10-01T10:07:45+00:00 1 Answer 0

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    2021-10-01T10:09:31+00:00

    Answer:

    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.

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