SOLUTION: what is a norm space

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Question 1139657: what is a norm space
Answer by ikleyn(52798) About Me  (Show Source):
You can put this solution on YOUR website!
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    In mathematics, a normed vector space is a vector space over the real or complex numbers, on which a norm is defined. 
    A norm is the formalization and the generalization to real vector spaces of the intuitive notion of distance in the real world.

For details, see this Wikipedia article

https://en.wikipedia.org/wiki/Normed_vector_space

or look into YOUR textbook.