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Math Help - questions about the space

  1. #1
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    questions 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.
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  2. #2
    MHF Contributor arbolis's Avatar
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    Quote Originally Posted by raed View Post
    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.
    I suggest you to do a research in wikipedia first.
    Then try to prove that indeed they are vector space or subspace. Ask here for help if you're stuck on proving.
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  3. #3
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    Quote Originally Posted by arbolis View Post
    I suggest you to do a research in wikipedia first.
    Then try to prove that indeed they are vector space or subspace. Ask here for help if you're stuck on proving.
    Thanks for ur opinion but the proofs and examples are very difficult so i hope to find the answer in this forum
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  4. #4
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    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.
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  5. #5
    MHF Contributor arbolis's Avatar
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    Quote Originally Posted by raed View Post
    Thanks for ur opinion but the proofs and examples are very difficult so i hope to find the answer in this forum
    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.
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