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=='''Normed Vector Space:'''==
 
=='''Normed Vector Space:'''==
  
To get closer to the subject of Banach spaces, we now turn the concept of norms into a usable dimensional space. This product of this transformation is called a normed vector space. A normed vector space is a space represented by the pair (V, ||.||).
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To get closer to the subject of Banach spaces, we now turn the concept of norms into a usable dimensional space. This product of this transformation is called a normed vector space. A normed vector space is a space represented by the pair (V, ||.||). This space is a type of metric space, which itself is a subset of topological spaces, as seen in the image below.
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[[File:Spaces|thumbnail|center|Image by Jhausauer]]

Revision as of 23:18, 6 December 2020

Normed Vector Space:

To get closer to the subject of Banach spaces, we now turn the concept of norms into a usable dimensional space. This product of this transformation is called a normed vector space. A normed vector space is a space represented by the pair (V, ||.||). This space is a type of metric space, which itself is a subset of topological spaces, as seen in the image below.

File:Spaces
Image by Jhausauer

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