Prove the Set of all Bounded Functions is a Subspace of a Vector Space

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Prove the Set of all Bounded Functions is a Subspace of a Vector Space
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Absolutely stunning bit of math right there.

lukadizdarevic
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What happens if there is no absolute value bracekt. So just like this f(x) =< M. does it change the answer? I assume it would change because of scalar multification part?

rockyr
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Is not it best if you write on page or white board instead of this?

ayeshaafzal