determine whether w={f:f(x)greater than or equal to 0} is a subspace of C, the set is continuous functions on the real numbers
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If f is in w, think about the function -f.
In other words,is closed under scalar multiplication ?
Originally Posted by Raoh In other words,is closed under scalar multiplication ? No, it isn't. Look at DrSteve's post. For example choose for all then, however . That is, . Fernando Revilla
Originally Posted by FernandoRevilla No, it isn't. Look at DrSteve's post. For example choose for all then, however . That is, . Fernando Revilla Just my hunch, but I think Raoh understands the problem, and is trying to get the OP'er to ask the question in post #3. Could be off on that, though.
My question was meant to help the OP'er.
Originally Posted by Raoh My question was meant to help the OP'er. Sorry, by error I thought your post was from the original poster. Fernando Revilla
Wow - it's not too hard to get thanked around here - very polite group!
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