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Math Help - problem in functional analysis

  1. #1
    Junior Member
    Joined
    Dec 2009
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    28

    problem in functional analysis

    Hi all of you :
    I face some difficulties in verifying a statement which you will find in the attachement. I know that on a finite dimensional vector space X, any norm is equivalent to any other norm. But in my problem I could not play with the hint given. Can any one help me?

    Thaaank you in advance
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