Can someone assist me in the following:

Let V be the space of continuous functions , such that:

I have shown that is a vector space.

How do I show that every is bounded.

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- January 13th 2011, 12:00 PMmusBounded function
Can someone assist me in the following:

Let V be the space of continuous functions , such that:

I have shown that is a vector space.

How do I show that every is bounded. - January 13th 2011, 12:12 PMDrexel28
- January 13th 2011, 12:38 PMJose27
- January 13th 2011, 01:14 PMsurjective
Could you kindly elaborate on the above. It is too abstract!!

- January 13th 2011, 01:47 PMPlato
- January 13th 2011, 02:17 PMDrexel28
- January 13th 2011, 03:49 PMmus
Don't see how f it is bounded on [-a1;a1]? Please explain!

- January 13th 2011, 04:05 PMPlato
- January 13th 2011, 04:14 PMmus
This subject is completely new to me and when your teacher rushes through the book without giving time to study the theorems then what do you expect? By the way I did not post to get talked down to but to be enlightened. So if I lack the basics then either my tutor could give that to me or you could be helpful enough to do so. I could say alot more but I will refrain. Could anyone else be kind enough to help me through this problem without the sarcasm.

Thanks a lot. - January 13th 2011, 04:24 PMPlato
There in nothing in my reply to suggest that I meant to make you feel bad. I simply suggested that you have a one-on one, face to face contact with you instructor.

It is simply a fact that:*Continuous functions on compact sets are bounded*. If you do not understand that, then you need ‘live’ help.