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Math Help - topology

  1. #1
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    topology

    Let X be a normed space.Show that the function f:X to Real numbers defined by f(x)=norm x is continuous on X.
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  2. #2
    Super Member girdav's Avatar
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    Re: topology

    Use |\lVert x\rVert-\lVert y\rVert|\leq \lVert x-y\rVert.
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