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Math Help - Banach space with infinite vector space basis?

  1. #1
    Senior Member bkarpuz's Avatar
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    Banach space with infinite vector space basis?

    Dear MHF members,

    I am facing with the following problem.
    How can we prove that a Banach space cannot have countably infinite vector space basis?

    Thanks.
    bkarpuz
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    Opalg's Avatar
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  3. #3
    Senior Member bkarpuz's Avatar
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    Thank you Professor Opalg.
    My next question is on the way.
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