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March 29th, 2014, 11:59 AM | #1 |
Senior Member Joined: Sep 2010 From: Oslo, Norway Posts: 162 Thanks: 2 | Showing that a space of functions is complete
Hello there, I want to show that Thank you for your time. Kind regards, Marius Last edited by king.oslo; March 29th, 2014 at 12:09 PM. |
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March 29th, 2014, 01:57 PM | #2 |
Global Moderator Joined: May 2007 Posts: 6,684 Thanks: 658 |
In general, completeness in any metric space means convergence using the metric. The space of bounded functions uses a sup norm, so that means you need to show uniform convergence.
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