definition of normed vectors space
Topics
About: vectors space
The table of contents of this article
Starting Context
- The reader knows a definition of %field name% vectors space.
- The reader knows a definition of norm on real or complex vectors space.
Target Context
- The reader will have a definition of normed vectors space.
Orientation
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There is a list of propositions discussed so far in this site.
Main Body
1: Definition
Any real or complex vectors space with any norm
2: Note
Any normed vectors space is a real vectors space or a complex vectors space, because any norm is not defined on any vectors space with any field that is not the real numbers field or the complex numbers field.
