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Math Help - interior and closure of a set in sequence space

  1. #1
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    Unhappy interior and closure of a set in sequence space

    Let A = {  ( x_{n} ) :  \sum_{n=1}^{\infty} | x_{n} | \leq 1 } Find the interior and the closure of A in c_{0} . Here c_{0} =  {  (x_{n}) \in R  : x_{n} -> 0   } i.e space of all sequences that converges to 0.
    Can anyone help, any hint is appreciated.
    Last edited by hermanni; February 20th 2011 at 07:35 AM.
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  2. #2
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    Metric is the usual sup metric i.e.  d( x_{n} , y_{n} )  =  sup_{k} | x_{k} - y_{k} |
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