hello ,could u give me examples for:

1.vector space and vector subspaces.

2.metric space and normed space.

3.banach space and hilbert space.

And please add the proofs.

And thanks alot for all.

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- Sep 14th 2009, 10:21 AMraedquestions about the space
hello ,could u give me examples for:

1.vector space and vector subspaces.

2.metric space and normed space.

3.banach space and hilbert space.

And please add the proofs.

And thanks alot for all. - Sep 14th 2009, 10:23 AMarbolis
- Sep 15th 2009, 12:09 AMraed
- Sep 15th 2009, 04:33 AMHallsofIvy
Your question is simply too "large". You are really asking for several different courses. We could give examples, but if you don't know what "vector space", "subspace", "Banach space", etc.

**are**just examples won't help you. - Sep 15th 2009, 10:35 AMarbolis
You're welcome.

Do you know the definition of a vector space?

Maybe you're looking for something like : http://www.mathhelpforum.com/math-he...tor-space.html, http://www.mathhelpforum.com/math-he...ace-proof.html and http://www.mathhelpforum.com/math-he...bspaces-v.html.

Of course there are much more related threads if you start to search.