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Topic: From addition preservation to linearity
Replies: 3   Last Post: Sep 24, 2012 1:14 PM

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Jose Carlos Santos

Posts: 4,872
Registered: 12/4/04
From addition preservation to linearity
Posted: Sep 23, 2012 7:14 PM
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Hi all,

Can someone please tell me where can I find a reference for the fact
that any Lebesgue-measurable map from R^n into R^m which preserves sums
is necessarily a linear map?

Best regards,

Jose Carlos Santos



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